Issolvi ex^2=-x-3by

$$e x ^ { 2 } = - x - 3 b y$$

Solvi għal b (complex solution)

$$\left\{\begin{matrix}b=-\frac{x\left(ex+1\right)}{3y}\text{, }&y\neq 0\\b\in \mathrm{C}\text{, }&\left(x=0\text{ or }x=-\frac{1}{e}\right)\text{ and }y=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

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

$$-x-3by=ex^{2}$$

Żid x maż-żewġ naħat.

$$-3by=ex^{2}+x$$

L-ekwazzjoni hija f'forma standard.

$$\left(-3y\right)b=ex^{2}+x$$

Iddividi ż-żewġ naħat b'-3y.

$$\frac{\left(-3y\right)b}{-3y}=\frac{x\left(ex+1\right)}{-3y}$$

Meta tiddividi b'-3y titneħħa l-multiplikazzjoni b'-3y.

$$b=\frac{x\left(ex+1\right)}{-3y}$$

Iddividi x\left(ex+1\right) b'-3y.

$$b=-\frac{x\left(ex+1\right)}{3y}$$

Solvi għal b

$$\left\{\begin{matrix}b=-\frac{x\left(ex+1\right)}{3y}\text{, }&y\neq 0\\b\in \mathrm{R}\text{, }&\left(x=0\text{ or }x=-\frac{1}{e}\right)\text{ and }y=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

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

$$-x-3by=ex^{2}$$

Żid x maż-żewġ naħat.

$$-3by=ex^{2}+x$$

L-ekwazzjoni hija f'forma standard.

$$\left(-3y\right)b=ex^{2}+x$$

Iddividi ż-żewġ naħat b'-3y.

$$\frac{\left(-3y\right)b}{-3y}=\frac{x\left(ex+1\right)}{-3y}$$

Meta tiddividi b'-3y titneħħa l-multiplikazzjoni b'-3y.

$$b=\frac{x\left(ex+1\right)}{-3y}$$

Iddividi x\left(ex+1\right) b'-3y.

$$b=-\frac{x\left(ex+1\right)}{3y}$$

Solvi għal x (complex solution)

$$x=\frac{\sqrt{1-12eby}-1}{2e}$$

$$x=-\frac{\sqrt{1-12eby}+1}{2e}$$

Solvi għal x

$$x=\frac{\sqrt{1-12eby}-1}{2e}$$

$$x=-\frac{\sqrt{1-12eby}+1}{2e}\text{, }\left(y\geq 0\text{ or }b\geq \frac{1}{12ey}\right)\text{ and }\left(y\leq 0\text{ or }b\leq \frac{1}{12ey}\right)$$