Solve x^2-5y+6=0

$$x ^ { 2 } - 5 y + 6 = 0$$

Solve for y

$$y=\frac{x^{2}+6}{5}$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.

$$-5y+6=-x^{2}$$

Subtract 6 from both sides.

$$-5y=-x^{2}-6$$

Divide both sides by -5.

$$\frac{-5y}{-5}=\frac{-x^{2}-6}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$y=\frac{-x^{2}-6}{-5}$$

Divide -x^{2}-6 by -5.

$$y=\frac{x^{2}+6}{5}$$

Solve for x (complex solution)

$$x=-\sqrt{5y-6}$$

$$x=\sqrt{5y-6}$$

Solve for x

$$x=\sqrt{5y-6}$$

$$x=-\sqrt{5y-6}\text{, }y\geq \frac{6}{5}$$