Rešite 6x+6/4x-6+8+x*-2)=0

$$\frac{ 6x+6 }{ 4x } -6+8+x \times -2)=0$$

Ovrednoti

$$-2x+\frac{7}{2}+\frac{3}{2x}$$

Kratka navodila za rešitev

Faktorizirajte izraze, ki še niso faktorizirani v \frac{6x+6}{4x}.

$$\frac{6\left(x+1\right)}{4x}-6+8+x\left(-2\right)$$

Okrajšaj 2 v števcu in imenovalcu.

$$\frac{3\left(x+1\right)}{2x}-6+8+x\left(-2\right)$$

Seštejte -6 in 8, da dobite 2.

$$\frac{3\left(x+1\right)}{2x}+2+x\left(-2\right)$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Pomnožite 2+x\left(-2\right) s/z \frac{2x}{2x}.

$$\frac{3\left(x+1\right)}{2x}+\frac{\left(2+x\left(-2\right)\right)\times 2x}{2x}$$

\frac{3\left(x+1\right)}{2x} in \frac{\left(2+x\left(-2\right)\right)\times 2x}{2x} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{3\left(x+1\right)+\left(2+x\left(-2\right)\right)\times 2x}{2x}$$

Izvedi množenje v 3\left(x+1\right)+\left(2+x\left(-2\right)\right)\times 2x.

$$\frac{3x+3+4x-4x^{2}}{2x}$$

Združite podobne člene v 3x+3+4x-4x^{2}.

$$\frac{7x+3-4x^{2}}{2x}$$

Faktorizirajte izraze, ki še niso faktorizirani v \frac{7x+3-4x^{2}}{2x}.

$$\frac{-4\left(x-\left(-\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{2x}$$

Okrajšaj 2 v števcu in imenovalcu.

$$\frac{-2\left(x-\left(-\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

Če želite poiskati nasprotno vrednost za -\frac{1}{8}\sqrt{97}+\frac{7}{8}, poiščite nasprotno vrednost vsakega izraza.

$$\frac{-2\left(x-\left(-\frac{1}{8}\sqrt{97}\right)-\frac{7}{8}\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

Nasprotna vrednost -\frac{1}{8}\sqrt{97} je \frac{1}{8}\sqrt{97}.

$$\frac{-2\left(x+\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

Če želite poiskati nasprotno vrednost za \frac{1}{8}\sqrt{97}+\frac{7}{8}, poiščite nasprotno vrednost vsakega izraza.

$$\frac{-2\left(x+\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Uporabite distributivnost, da pomnožite -2 s/z x+\frac{1}{8}\sqrt{97}-\frac{7}{8}.

$$\frac{\left(-2x-2\times \frac{1}{8}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Pomnožite -2 in \frac{1}{8}, da dobite \frac{-2}{8}.

$$\frac{\left(-2x+\frac{-2}{8}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Zmanjšajte ulomek \frac{-2}{8} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Izrazite -2\left(-\frac{7}{8}\right) kot enojni ulomek.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{-2\left(-7\right)}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Pomnožite -2 in -7, da dobite 14.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{14}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Zmanjšajte ulomek \frac{14}{8} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{7}{4}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Uporabite distributivnost tako, da pomnožite vsako vrednost -2x-\frac{1}{4}\sqrt{97}+\frac{7}{4} z vsako vrednostjo x-\frac{1}{8}\sqrt{97}-\frac{7}{8}.

$$\frac{-2x^{2}-2x\left(-\frac{1}{8}\right)\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\sqrt{97}\left(-\frac{1}{8}\right)\sqrt{97}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite \sqrt{97} in \sqrt{97}, da dobite 97.

$$\frac{-2x^{2}-2x\left(-\frac{1}{8}\right)\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izrazite -2\left(-\frac{1}{8}\right) kot enojni ulomek.

$$\frac{-2x^{2}+\frac{-2\left(-1\right)}{8}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite -2 in -1, da dobite 2.

$$\frac{-2x^{2}+\frac{2}{8}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Zmanjšajte ulomek \frac{2}{8} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izrazite -2\left(-\frac{7}{8}\right) kot enojni ulomek.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{-2\left(-7\right)}{8}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite -2 in -7, da dobite 14.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{14}{8}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Zmanjšajte ulomek \frac{14}{8} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{7}{4}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Združite \frac{1}{4}x\sqrt{97} in -\frac{1}{4}\sqrt{97}x, da dobite 0.

$$\frac{-2x^{2}+\frac{7}{4}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izrazite -\frac{1}{4}\times 97 kot enojni ulomek.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{-97}{4}\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Ulomek \frac{-97}{4} je mogoče drugače zapisati kot -\frac{97}{4} z ekstrahiranjem negativnega znaka.

$$\frac{-2x^{2}+\frac{7}{4}x-\frac{97}{4}\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite -\frac{97}{4} s/z -\frac{1}{8} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{-97\left(-1\right)}{4\times 8}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izvedite množenja v ulomku \frac{-97\left(-1\right)}{4\times 8}.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite -\frac{1}{4} s/z -\frac{7}{8} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}+\frac{-\left(-7\right)}{4\times 8}\sqrt{97}+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izvedite množenja v ulomku \frac{-\left(-7\right)}{4\times 8}.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Združite \frac{7}{4}x in \frac{7}{4}x, da dobite \frac{7}{2}x.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite \frac{7}{4} s/z -\frac{1}{8} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7\left(-1\right)}{4\times 8}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izvedite množenja v ulomku \frac{7\left(-1\right)}{4\times 8}.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{-7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Ulomek \frac{-7}{32} je mogoče drugače zapisati kot -\frac{7}{32} z ekstrahiranjem negativnega znaka.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}-\frac{7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Združite \frac{7}{32}\sqrt{97} in -\frac{7}{32}\sqrt{97}, da dobite 0.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite \frac{7}{4} s/z -\frac{7}{8} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7\left(-7\right)}{4\times 8}}{x}$$

Izvedite množenja v ulomku \frac{7\left(-7\right)}{4\times 8}.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{-49}{32}}{x}$$

Ulomek \frac{-49}{32} je mogoče drugače zapisati kot -\frac{49}{32} z ekstrahiranjem negativnega znaka.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}-\frac{49}{32}}{x}$$

Ker \frac{97}{32} in \frac{49}{32} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97-49}{32}}{x}$$

Odštejte 49 od 97, da dobite 48.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{48}{32}}{x}$$

Zmanjšajte ulomek \frac{48}{32} na najmanjši imenovalec tako, da izpeljete in okrajšate 16.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{3}{2}}{x}$$

Razširi

$$-2x+\frac{7}{2}+\frac{3}{2x}$$

Kratka navodila za rešitev

Faktorizirajte izraze, ki še niso faktorizirani v \frac{6x+6}{4x}.

$$\frac{6\left(x+1\right)}{4x}-6+8+x\left(-2\right)$$

Okrajšaj 2 v števcu in imenovalcu.

$$\frac{3\left(x+1\right)}{2x}-6+8+x\left(-2\right)$$

Seštejte -6 in 8, da dobite 2.

$$\frac{3\left(x+1\right)}{2x}+2+x\left(-2\right)$$

Če želite prišteti ali odšteti izraze, jih razširite na skupne imenovalce. Pomnožite 2+x\left(-2\right) s/z \frac{2x}{2x}.

$$\frac{3\left(x+1\right)}{2x}+\frac{\left(2+x\left(-2\right)\right)\times 2x}{2x}$$

\frac{3\left(x+1\right)}{2x} in \frac{\left(2+x\left(-2\right)\right)\times 2x}{2x} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{3\left(x+1\right)+\left(2+x\left(-2\right)\right)\times 2x}{2x}$$

Izvedi množenje v 3\left(x+1\right)+\left(2+x\left(-2\right)\right)\times 2x.

$$\frac{3x+3+4x-4x^{2}}{2x}$$

Združite podobne člene v 3x+3+4x-4x^{2}.

$$\frac{7x+3-4x^{2}}{2x}$$

Faktorizirajte izraze, ki še niso faktorizirani v \frac{7x+3-4x^{2}}{2x}.

$$\frac{-4\left(x-\left(-\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{2x}$$

Okrajšaj 2 v števcu in imenovalcu.

$$\frac{-2\left(x-\left(-\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

Če želite poiskati nasprotno vrednost za -\frac{1}{8}\sqrt{97}+\frac{7}{8}, poiščite nasprotno vrednost vsakega izraza.

$$\frac{-2\left(x-\left(-\frac{1}{8}\sqrt{97}\right)-\frac{7}{8}\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

Nasprotna vrednost -\frac{1}{8}\sqrt{97} je \frac{1}{8}\sqrt{97}.

$$\frac{-2\left(x+\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

Če želite poiskati nasprotno vrednost za \frac{1}{8}\sqrt{97}+\frac{7}{8}, poiščite nasprotno vrednost vsakega izraza.

$$\frac{-2\left(x+\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Uporabite distributivnost, da pomnožite -2 s/z x+\frac{1}{8}\sqrt{97}-\frac{7}{8}.

$$\frac{\left(-2x-2\times \frac{1}{8}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Pomnožite -2 in \frac{1}{8}, da dobite \frac{-2}{8}.

$$\frac{\left(-2x+\frac{-2}{8}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Zmanjšajte ulomek \frac{-2}{8} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Izrazite -2\left(-\frac{7}{8}\right) kot enojni ulomek.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{-2\left(-7\right)}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Pomnožite -2 in -7, da dobite 14.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{14}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Zmanjšajte ulomek \frac{14}{8} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{7}{4}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

Uporabite distributivnost tako, da pomnožite vsako vrednost -2x-\frac{1}{4}\sqrt{97}+\frac{7}{4} z vsako vrednostjo x-\frac{1}{8}\sqrt{97}-\frac{7}{8}.

$$\frac{-2x^{2}-2x\left(-\frac{1}{8}\right)\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\sqrt{97}\left(-\frac{1}{8}\right)\sqrt{97}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite \sqrt{97} in \sqrt{97}, da dobite 97.

$$\frac{-2x^{2}-2x\left(-\frac{1}{8}\right)\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izrazite -2\left(-\frac{1}{8}\right) kot enojni ulomek.

$$\frac{-2x^{2}+\frac{-2\left(-1\right)}{8}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite -2 in -1, da dobite 2.

$$\frac{-2x^{2}+\frac{2}{8}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Zmanjšajte ulomek \frac{2}{8} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izrazite -2\left(-\frac{7}{8}\right) kot enojni ulomek.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{-2\left(-7\right)}{8}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite -2 in -7, da dobite 14.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{14}{8}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Zmanjšajte ulomek \frac{14}{8} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{7}{4}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Združite \frac{1}{4}x\sqrt{97} in -\frac{1}{4}\sqrt{97}x, da dobite 0.

$$\frac{-2x^{2}+\frac{7}{4}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izrazite -\frac{1}{4}\times 97 kot enojni ulomek.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{-97}{4}\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Ulomek \frac{-97}{4} je mogoče drugače zapisati kot -\frac{97}{4} z ekstrahiranjem negativnega znaka.

$$\frac{-2x^{2}+\frac{7}{4}x-\frac{97}{4}\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite -\frac{97}{4} s/z -\frac{1}{8} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{-97\left(-1\right)}{4\times 8}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izvedite množenja v ulomku \frac{-97\left(-1\right)}{4\times 8}.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite -\frac{1}{4} s/z -\frac{7}{8} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}+\frac{-\left(-7\right)}{4\times 8}\sqrt{97}+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izvedite množenja v ulomku \frac{-\left(-7\right)}{4\times 8}.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Združite \frac{7}{4}x in \frac{7}{4}x, da dobite \frac{7}{2}x.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite \frac{7}{4} s/z -\frac{1}{8} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7\left(-1\right)}{4\times 8}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Izvedite množenja v ulomku \frac{7\left(-1\right)}{4\times 8}.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{-7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Ulomek \frac{-7}{32} je mogoče drugače zapisati kot -\frac{7}{32} z ekstrahiranjem negativnega znaka.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}-\frac{7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Združite \frac{7}{32}\sqrt{97} in -\frac{7}{32}\sqrt{97}, da dobite 0.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Pomnožite \frac{7}{4} s/z -\frac{7}{8} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7\left(-7\right)}{4\times 8}}{x}$$

Izvedite množenja v ulomku \frac{7\left(-7\right)}{4\times 8}.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{-49}{32}}{x}$$

Ulomek \frac{-49}{32} je mogoče drugače zapisati kot -\frac{49}{32} z ekstrahiranjem negativnega znaka.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}-\frac{49}{32}}{x}$$

Ker \frac{97}{32} in \frac{49}{32} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97-49}{32}}{x}$$

Odštejte 49 od 97, da dobite 48.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{48}{32}}{x}$$

Zmanjšajte ulomek \frac{48}{32} na najmanjši imenovalec tako, da izpeljete in okrajšate 16.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{3}{2}}{x}$$