Solve x^2/4=2-34

$$\frac { x ^ { 2 } } { 4 } = 2 - 34$$

Solve for x (complex solution)

$$x=-8\sqrt{2}i\approx -0-11.313708499i$$

$$x=8\sqrt{2}i\approx 11.313708499i$$

Steps by Finding Square Root

Multiply both sides of the equation by 4.

$$x^{2}=8-136$$

Subtract 136 from 8 to get -128.

$$x^{2}=-128$$

The equation is now solved.

$$x=8\sqrt{2}i x=-8\sqrt{2}i$$

Steps Using the Quadratic Formula

Multiply both sides of the equation by 4.

$$x^{2}=8-136$$

Subtract 136 from 8 to get -128.

$$x^{2}=-128$$

Add 128 to both sides.

$$x^{2}+128=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 128 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 128}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 128}}{2}$$

Multiply -4 times 128.

$$x=\frac{0±\sqrt{-512}}{2}$$

Take the square root of -512.

$$x=\frac{0±16\sqrt{2}i}{2}$$

Now solve the equation x=\frac{0±16\sqrt{2}i}{2} when ± is plus.

$$x=8\sqrt{2}i$$

Now solve the equation x=\frac{0±16\sqrt{2}i}{2} when ± is minus.

$$x=-8\sqrt{2}i$$

The equation is now solved.

$$x=8\sqrt{2}i x=-8\sqrt{2}i$$