Resol y=left(6xright)^2+left(4zright)^2

$$y= { \left(6x \right) }^{ 2 } + { \left(4z \right) }^{ 2 }$$

Resoleu y

$$y=36x^{2}+16z^{2}$$

Passos de solució

Expandiu \left(6x\right)^{2}.

$$y=6^{2}x^{2}+\left(4z\right)^{2}$$

Calculeu 6 elevat a 2 per obtenir 36.

$$y=36x^{2}+\left(4z\right)^{2}$$

Expandiu \left(4z\right)^{2}.

$$y=36x^{2}+4^{2}z^{2}$$

Calculeu 4 elevat a 2 per obtenir 16.

$$y=36x^{2}+16z^{2}$$

Resoleu x (complex solution)

$$x=-\frac{\sqrt{y-16z^{2}}}{6}$$

$$x=\frac{\sqrt{y-16z^{2}}}{6}$$

Resoleu x

$$x=\frac{\sqrt{y-16z^{2}}}{6}$$

$$x=-\frac{\sqrt{y-16z^{2}}}{6}\text{, }y\geq 16z^{2}$$