Solve x^2-800-40000=0

$${ x }^{ 2 } -800-40000 = 0$$

Solve for x

$$x=20\sqrt{102}\approx 201.990098767$$

$$x=-20\sqrt{102}\approx -201.990098767$$

Steps by Finding Square Root

Subtract 40000 from -800 to get -40800.

$$x^{2}-40800=0$$

Add 40800 to both sides. Anything plus zero gives itself.

$$x^{2}=40800$$

Take the square root of both sides of the equation.

$$x=20\sqrt{102} x=-20\sqrt{102}$$

Steps Using the Quadratic Formula

Subtract 40000 from -800 to get -40800.

$$x^{2}-40800=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -40800 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-40800\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-40800\right)}}{2}$$

Multiply -4 times -40800.

$$x=\frac{0±\sqrt{163200}}{2}$$

Take the square root of 163200.

$$x=\frac{0±40\sqrt{102}}{2}$$

Now solve the equation x=\frac{0±40\sqrt{102}}{2} when ± is plus.

$$x=20\sqrt{102}$$

Now solve the equation x=\frac{0±40\sqrt{102}}{2} when ± is minus.

$$x=-20\sqrt{102}$$

The equation is now solved.

$$x=20\sqrt{102} x=-20\sqrt{102}$$