Solve 5x^2-526=-651

$$5 x ^ { 2 } - 526 = - 651$$

Solve for x (complex solution)

$$x=-5i$$

$$x=5i$$

Steps by Finding Square Root

Add 526 to both sides.

$$5x^{2}=-651+526$$

Add -651 and 526 to get -125.

$$5x^{2}=-125$$

Divide both sides by 5.

$$x^{2}=\frac{-125}{5}$$

Divide -125 by 5 to get -25.

$$x^{2}=-25$$

The equation is now solved.

$$x=5i x=-5i$$

Steps Using the Quadratic Formula

Add 651 to both sides.

$$5x^{2}-526+651=0$$

Add -526 and 651 to get 125.

$$5x^{2}+125=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 5 for a, 0 for b, and 125 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 5\times 125}}{2\times 5}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 5\times 125}}{2\times 5}$$

Multiply -4 times 5.

$$x=\frac{0±\sqrt{-20\times 125}}{2\times 5}$$

Multiply -20 times 125.

$$x=\frac{0±\sqrt{-2500}}{2\times 5}$$

Take the square root of -2500.

$$x=\frac{0±50i}{2\times 5}$$

Multiply 2 times 5.

$$x=\frac{0±50i}{10}$$

Now solve the equation x=\frac{0±50i}{10} when ± is plus.

$$x=5i$$

Now solve the equation x=\frac{0±50i}{10} when ± is minus.

$$x=-5i$$

The equation is now solved.

$$x=5i x=-5i$$