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

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

y uchun yechish

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

Yechim qadamlari

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

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

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

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

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

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

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

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

x uchun yechish (complex solution)

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

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

x uchun yechish

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

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