Atrisiniet 12x^2-12y=z

$$12 x ^ { 2 } - 12 y = z$$

Atrast y

$$y=x^{2}-\frac{z}{12}$$

Lineāra vienādojuma risināšanas darbības

Atņemiet 12x^{2} no abām pusēm.

$$-12y=z-12x^{2}$$

Daliet abas puses ar -12.

$$\frac{-12y}{-12}=\frac{z-12x^{2}}{-12}$$

Dalīšana ar -12 atsauc reizināšanu ar -12.

$$y=\frac{z-12x^{2}}{-12}$$

Daliet z-12x^{2} ar -12.

$$y=x^{2}-\frac{z}{12}$$

Atrast x (complex solution)

$$x=-\frac{\sqrt{3\left(12y+z\right)}}{6}$$

$$x=\frac{\sqrt{3\left(12y+z\right)}}{6}$$

Atrast x

$$x=\frac{\sqrt{3\left(12y+z\right)}}{6}$$

$$x=-\frac{\sqrt{3\left(12y+z\right)}}{6}\text{, }y\geq -\frac{z}{12}$$