Solve x^2-350=-23600

$${ x }^{ 2 } -350=-23600$$

Solve for x (complex solution)

$$x=-5\sqrt{930}i\approx -0-152.47950682i$$

$$x=5\sqrt{930}i\approx 152.47950682i$$

Steps by Finding Square Root

Add 350 to both sides.

$$x^{2}=-23600+350$$

Add -23600 and 350 to get -23250.

$$x^{2}=-23250$$

The equation is now solved.

$$x=5\sqrt{930}i x=-5\sqrt{930}i$$

Steps Using the Quadratic Formula

Add 23600 to both sides.

$$x^{2}-350+23600=0$$

Add -350 and 23600 to get 23250.

$$x^{2}+23250=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 23250 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 23250}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 23250}}{2}$$

Multiply -4 times 23250.

$$x=\frac{0±\sqrt{-93000}}{2}$$

Take the square root of -93000.

$$x=\frac{0±10\sqrt{930}i}{2}$$

Now solve the equation x=\frac{0±10\sqrt{930}i}{2} when ± is plus.

$$x=5\sqrt{930}i$$

Now solve the equation x=\frac{0±10\sqrt{930}i}{2} when ± is minus.

$$x=-5\sqrt{930}i$$

The equation is now solved.

$$x=5\sqrt{930}i x=-5\sqrt{930}i$$