Riješi (150000000000)^3/(31600000)^2=380000000/x^2

$$\frac { ( 150000000000 ) ^ { 3 } } { ( 31600000 ) ^ { 2 } } = \frac { 380000000 } { x ^ { 2 } }$$

Izračunaj x

$$x=\frac{79\sqrt{57}}{56250000}\approx 0,000010603$$

$$x=-\frac{79\sqrt{57}}{56250000}\approx -0,000010603$$

Koraci za postupak traženja kvadratnog korijena

Varijabla x ne može biti jednaka 0 jer nije definirano dijeljenje nulom. Pomnožite obje strane jednadžbe s x^{2}.

$$\frac{1}{998560000000000}x^{2}\times 150000000000^{3}=380000000$$

Izračunajte koliko je 3 na 150000000000 da biste dobili 3375000000000000000000000000000000.

$$\frac{1}{998560000000000}x^{2}\times 3375000000000000000000000000000000=380000000$$

Pomnožite \frac{1}{998560000000000} i 3375000000000000000000000000000000 da biste dobili \frac{21093750000000000000000}{6241}.

$$\frac{21093750000000000000000}{6241}x^{2}=380000000$$

Pomnožite obje strane s \frac{6241}{21093750000000000000000}, recipročnim izrazom od \frac{21093750000000000000000}{6241}.

$$x^{2}=380000000\times \frac{6241}{21093750000000000000000}$$

Pomnožite 380000000 i \frac{6241}{21093750000000000000000} da biste dobili \frac{118579}{1054687500000000}.

$$x^{2}=\frac{118579}{1054687500000000}$$

Izračunajte kvadratni korijen obiju strana jednadžbe.

$$x=\frac{79\sqrt{57}}{56250000} x=-\frac{79\sqrt{57}}{56250000}$$

Koraci korištenja kvadratne formule

Varijabla x ne može biti jednaka 0 jer nije definirano dijeljenje nulom. Pomnožite obje strane jednadžbe s x^{2}.

$$\frac{1}{998560000000000}x^{2}\times 150000000000^{3}=380000000$$

Izračunajte koliko je 3 na 150000000000 da biste dobili 3375000000000000000000000000000000.

$$\frac{1}{998560000000000}x^{2}\times 3375000000000000000000000000000000=380000000$$

Pomnožite \frac{1}{998560000000000} i 3375000000000000000000000000000000 da biste dobili \frac{21093750000000000000000}{6241}.

$$\frac{21093750000000000000000}{6241}x^{2}=380000000$$

Oduzmite 380000000 od obiju strana.

$$\frac{21093750000000000000000}{6241}x^{2}-380000000=0$$

Ova je jednadžba u standardnom obliku: ax^{2}+bx+c=0. U kvadratnoj jednadžbi \frac{-b±\sqrt{b^{2}-4ac}}{2a} zamijenite \frac{21093750000000000000000}{6241} s a, 0 s b i -380000000 s c.

$$x=\frac{0±\sqrt{0^{2}-4\times \frac{21093750000000000000000}{6241}\left(-380000000\right)}}{2\times \frac{21093750000000000000000}{6241}}$$

Kvadrirajte 0.

$$x=\frac{0±\sqrt{-4\times \frac{21093750000000000000000}{6241}\left(-380000000\right)}}{2\times \frac{21093750000000000000000}{6241}}$$

Pomnožite -4 i \frac{21093750000000000000000}{6241}.

$$x=\frac{0±\sqrt{-\frac{84375000000000000000000}{6241}\left(-380000000\right)}}{2\times \frac{21093750000000000000000}{6241}}$$

Pomnožite -\frac{84375000000000000000000}{6241} i -380000000.

$$x=\frac{0±\sqrt{\frac{32062500000000000000000000000000}{6241}}}{2\times \frac{21093750000000000000000}{6241}}$$

Izračunajte kvadratni korijen od \frac{32062500000000000000000000000000}{6241}.

$$x=\frac{0±\frac{750000000000000\sqrt{57}}{79}}{2\times \frac{21093750000000000000000}{6241}}$$

Pomnožite 2 i \frac{21093750000000000000000}{6241}.

$$x=\frac{0±\frac{750000000000000\sqrt{57}}{79}}{\frac{42187500000000000000000}{6241}}$$

Sada riješite jednadžbu x=\frac{0±\frac{750000000000000\sqrt{57}}{79}}{\frac{42187500000000000000000}{6241}} kad je ± plus.

$$x=\frac{79\sqrt{57}}{56250000}$$

Sada riješite jednadžbu x=\frac{0±\frac{750000000000000\sqrt{57}}{79}}{\frac{42187500000000000000000}{6241}} kad je ± minus.

$$x=-\frac{79\sqrt{57}}{56250000}$$

Jednadžba je sada riješena.

$$x=\frac{79\sqrt{57}}{56250000} x=-\frac{79\sqrt{57}}{56250000}$$