Solve A+b^2=x/y

$$A + b ^ { 2 } = \frac { x } { y }$$

Solve for A

$$A=-b^{2}+\frac{x}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$yA+yb^{2}=x$$

Subtract yb^{2} from both sides.

$$yA=x-yb^{2}$$

Divide both sides by y.

$$\frac{yA}{y}=\frac{x-yb^{2}}{y}$$

Dividing by y undoes the multiplication by y.

$$A=\frac{x-yb^{2}}{y}$$

Divide x-b^{2}y by y.

$$A=-b^{2}+\frac{x}{y}$$

Solve for b (complex solution)

$$b=-\sqrt{-A+\frac{x}{y}}$$

$$b=\sqrt{-A+\frac{x}{y}}\text{, }y\neq 0$$

Solve for b

$$b=\sqrt{-A+\frac{x}{y}}$$

$$b=-\sqrt{-A+\frac{x}{y}}\text{, }A\leq \frac{x}{y}\text{ and }y\neq 0$$