Issolvi x^0=frac{30+4^2+sqrt{8}1+5^2x5}{4x+15+2(6-5)}

$$x ^ { 0 } = \frac { 30 + 4 ^ { 2 } + \sqrt { 8 } 1 + 5 ^ { 2 } x 5 } { 4 x + 15 + 2 ( 6 - 5 ) }$$

Solvi għal x_5

$$x_{5}=\frac{4x-2\sqrt{2}-29}{25}$$

$$x\neq 0\text{ and }x\neq -\frac{17}{4}$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'4x+17.

$$\left(4x+17\right)x^{0}=30+4^{2}+1\sqrt{8}+5^{2}x_{5}$$

Uża l-propjetà distributtiva biex timmultiplika 4x+17 b'x^{0}.

$$4xx^{0}+17x^{0}=30+4^{2}+1\sqrt{8}+5^{2}x_{5}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1 u 0 biex tikseb 1.

$$4x^{1}+17x^{0}=30+4^{2}+1\sqrt{8}+5^{2}x_{5}$$

Ikkalkula x bil-power ta' 1 u tikseb x.

$$4x+17x^{0}=30+4^{2}+1\sqrt{8}+5^{2}x_{5}$$

Ikkalkula 4 bil-power ta' 2 u tikseb 16.

$$4x+17x^{0}=30+16+1\sqrt{8}+5^{2}x_{5}$$

Żid 30 u 16 biex tikseb 46.

$$4x+17x^{0}=46+1\sqrt{8}+5^{2}x_{5}$$

Iffattura 8=2^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 2^{2}.

$$4x+17x^{0}=46+1\times 2\sqrt{2}+5^{2}x_{5}$$

Immultiplika 1 u 2 biex tikseb 2.

$$4x+17x^{0}=46+2\sqrt{2}+5^{2}x_{5}$$

Ikkalkula 5 bil-power ta' 2 u tikseb 25.

$$4x+17x^{0}=46+2\sqrt{2}+25x_{5}$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$46+2\sqrt{2}+25x_{5}=4x+17x^{0}$$

Naqqas 46 miż-żewġ naħat.

$$2\sqrt{2}+25x_{5}=4x+17x^{0}-46$$

Naqqas 2\sqrt{2} miż-żewġ naħat.

$$25x_{5}=4x+17x^{0}-46-2\sqrt{2}$$

L-ekwazzjoni hija f'forma standard.

$$25x_{5}=4x-2\sqrt{2}-29$$

Iddividi ż-żewġ naħat b'25.

$$\frac{25x_{5}}{25}=\frac{4x-2\sqrt{2}-29}{25}$$

Meta tiddividi b'25 titneħħa l-multiplikazzjoni b'25.

$$x_{5}=\frac{4x-2\sqrt{2}-29}{25}$$

Solvi għal x (complex solution)

$$x=\frac{25x_{5}}{4}+\frac{\sqrt{2}}{2}+\frac{29}{4}$$

$$x_{5}\neq \frac{-2\sqrt{2}-29}{25}\text{ and }x_{5}\neq \frac{-2\sqrt{2}-46}{25}\text{ and }x_{5}\neq \frac{-2\sqrt{2}-29}{25}$$

Solvi għal x

$$x=\frac{25x_{5}}{4}+\frac{\sqrt{2}}{2}+\frac{29}{4}$$

$$x_{5}\neq \frac{-2\sqrt{2}-29}{25}\text{ and }x_{5}\neq \frac{-2\sqrt{2}-46}{25}$$