Solve x^2-4=500

$$x ^ { 2 } - 4 = 500$$

Solve for x

$$x=6\sqrt{14}\approx 22.449944321$$

$$x=-6\sqrt{14}\approx -22.449944321$$

Steps by Finding Square Root

Add 4 to both sides.

$$x^{2}=500+4$$

Add 500 and 4 to get 504.

$$x^{2}=504$$

Take the square root of both sides of the equation.

$$x=6\sqrt{14} x=-6\sqrt{14}$$

Steps Using the Quadratic Formula

Subtract 500 from both sides.

$$x^{2}-4-500=0$$

Subtract 500 from -4 to get -504.

$$x^{2}-504=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -504 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-504\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-504\right)}}{2}$$

Multiply -4 times -504.

$$x=\frac{0±\sqrt{2016}}{2}$$

Take the square root of 2016.

$$x=\frac{0±12\sqrt{14}}{2}$$

Now solve the equation x=\frac{0±12\sqrt{14}}{2} when ± is plus.

$$x=6\sqrt{14}$$

Now solve the equation x=\frac{0±12\sqrt{14}}{2} when ± is minus.

$$x=-6\sqrt{14}$$

The equation is now solved.

$$x=6\sqrt{14} x=-6\sqrt{14}$$