Issolvi y=1/yx-4

$$y = \frac { 1 } { y } x - 4$$

Solvi għal x

$$x=y\left(y+4\right)$$

$$y\neq 0$$

Passi tas-Soluzzjonijiet

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'y.

$$yy=1x+y\left(-4\right)$$

Immultiplika y u y biex tikseb y^{2}.

$$y^{2}=1x+y\left(-4\right)$$

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

$$1x+y\left(-4\right)=y^{2}$$

Naqqas y\left(-4\right) miż-żewġ naħat.

$$1x=y^{2}-y\left(-4\right)$$

Erġa' ordna t-termini.

$$x=y^{2}-\left(-4y\right)$$

Immultiplika -1 u -4 biex tikseb 4.

$$x=y^{2}+4y$$

Solvi għal y (complex solution)

$$\left\{\begin{matrix}\\y=-\sqrt{x+4}-2\text{, }&\text{unconditionally}\\y=\sqrt{x+4}-2\text{, }&x\neq 0\end{matrix}\right.$$

Solvi għal y

$$\left\{\begin{matrix}y=-\sqrt{x+4}-2\text{, }&x\geq -4\\y=\sqrt{x+4}-2\text{, }&x\neq 0\text{ and }x\geq -4\end{matrix}\right.$$