Solve z^2+(z)^2=0

$$z ^ { 2 } + ( z ) ^ { 2 } = 0$$

Solve for z

$$z=0$$

Steps by Finding Square Root

Combine z^{2} and z^{2} to get 2z^{2}.

$$2z^{2}=0$$

Divide both sides by 2. Zero divided by any non-zero number gives zero.

$$z^{2}=0$$

Take the square root of both sides of the equation.

$$z=0 z=0$$

The equation is now solved. Solutions are the same.

$$z=0$$

Steps Using the Quadratic Formula

Combine z^{2} and z^{2} to get 2z^{2}.

$$2z^{2}=0$$

Divide both sides by 2. Zero divided by any non-zero number gives zero.

$$z^{2}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$z=\frac{0±\sqrt{0^{2}}}{2}$$

Take the square root of 0^{2}.

$$z=\frac{0±0}{2}$$

Divide 0 by 2.

$$z=0$$