Solve x^2+y^2/ab=4

$$\frac { x ^ { 2 } + y ^ { 2 } } { a b } = 4$$

Solve for a (complex solution)

$$a=\frac{x^{2}+y^{2}}{4b}$$

$$b\neq 0\text{ and }x\neq -iy\text{ and }x\neq iy$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by ab.

$$x^{2}+y^{2}=4ab$$

Swap sides so that all variable terms are on the left hand side.

$$4ab=x^{2}+y^{2}$$

The equation is in standard form.

$$4ba=x^{2}+y^{2}$$

Divide both sides by 4b.

$$\frac{4ba}{4b}=\frac{x^{2}+y^{2}}{4b}$$

Dividing by 4b undoes the multiplication by 4b.

$$a=\frac{x^{2}+y^{2}}{4b}$$

Variable a cannot be equal to 0.

$$a=\frac{x^{2}+y^{2}}{4b}\text{, }a\neq 0$$

Solve for b (complex solution)

$$b=\frac{x^{2}+y^{2}}{4a}$$

$$a\neq 0\text{ and }x\neq -iy\text{ and }x\neq iy$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by ab.

$$x^{2}+y^{2}=4ab$$

Swap sides so that all variable terms are on the left hand side.

$$4ab=x^{2}+y^{2}$$

Divide both sides by 4a.

$$\frac{4ab}{4a}=\frac{x^{2}+y^{2}}{4a}$$

Dividing by 4a undoes the multiplication by 4a.

$$b=\frac{x^{2}+y^{2}}{4a}$$

Variable b cannot be equal to 0.

$$b=\frac{x^{2}+y^{2}}{4a}\text{, }b\neq 0$$

Solve for a

$$a=\frac{x^{2}+y^{2}}{4b}$$

$$b\neq 0\text{ and }\left(y\neq 0\text{ or }x\neq 0\right)$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by ab.

$$x^{2}+y^{2}=4ab$$

Swap sides so that all variable terms are on the left hand side.

$$4ab=x^{2}+y^{2}$$

The equation is in standard form.

$$4ba=x^{2}+y^{2}$$

Divide both sides by 4b.

$$\frac{4ba}{4b}=\frac{x^{2}+y^{2}}{4b}$$

Dividing by 4b undoes the multiplication by 4b.

$$a=\frac{x^{2}+y^{2}}{4b}$$

Variable a cannot be equal to 0.

$$a=\frac{x^{2}+y^{2}}{4b}\text{, }a\neq 0$$

Solve for b

$$b=\frac{x^{2}+y^{2}}{4a}$$

$$a\neq 0\text{ and }\left(y\neq 0\text{ or }x\neq 0\right)$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by ab.

$$x^{2}+y^{2}=4ab$$

Swap sides so that all variable terms are on the left hand side.

$$4ab=x^{2}+y^{2}$$

Divide both sides by 4a.

$$\frac{4ab}{4a}=\frac{x^{2}+y^{2}}{4a}$$

Dividing by 4a undoes the multiplication by 4a.

$$b=\frac{x^{2}+y^{2}}{4a}$$

Variable b cannot be equal to 0.

$$b=\frac{x^{2}+y^{2}}{4a}\text{, }b\neq 0$$