Solve x^2-78*-78=0

$$x ^ { 2 } - 78 \times - 78 = 0$$

Solve for x (complex solution)

$$x=-78i$$

$$x=78i$$

Steps by Finding Square Root

Multiply 78 and -78 to get -6084.

$$x^{2}-\left(-6084\right)=0$$

The opposite of -6084 is 6084.

$$x^{2}+6084=0$$

Subtract 6084 from both sides. Anything subtracted from zero gives its negation.

$$x^{2}=-6084$$

The equation is now solved.

$$x=78i x=-78i$$

Steps Using the Quadratic Formula

Multiply 78 and -78 to get -6084.

$$x^{2}-\left(-6084\right)=0$$

The opposite of -6084 is 6084.

$$x^{2}+6084=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 6084 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 6084}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 6084}}{2}$$

Multiply -4 times 6084.

$$x=\frac{0±\sqrt{-24336}}{2}$$

Take the square root of -24336.

$$x=\frac{0±156i}{2}$$

Now solve the equation x=\frac{0±156i}{2} when ± is plus.

$$x=78i$$

Now solve the equation x=\frac{0±156i}{2} when ± is minus.

$$x=-78i$$

The equation is now solved.

$$x=78i x=-78i$$