Solve 2x^2-x^2=-4

$$2 x ^ { 2 } - x ^ { 2 } = - 4$$

Solve for x (complex solution)

$$x=-2i$$

$$x=2i$$

Steps by Finding Square Root

Combine 2x^{2} and -x^{2} to get x^{2}.

$$x^{2}=-4$$

The equation is now solved.

$$x=2i x=-2i$$

Steps Using the Quadratic Formula

Combine 2x^{2} and -x^{2} to get x^{2}.

$$x^{2}=-4$$

Add 4 to both sides.

$$x^{2}+4=0$$

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

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

Square 0.

$$x=\frac{0±\sqrt{-4\times 4}}{2}$$

Multiply -4 times 4.

$$x=\frac{0±\sqrt{-16}}{2}$$

Take the square root of -16.

$$x=\frac{0±4i}{2}$$

Now solve the equation x=\frac{0±4i}{2} when ± is plus.

$$x=2i$$

Now solve the equation x=\frac{0±4i}{2} when ± is minus.

$$x=-2i$$

The equation is now solved.

$$x=2i x=-2i$$