Solve 4000=c^2

$$4000 = c ^ { 2 }$$

Solve for c

$$c=20\sqrt{10}\approx 63.245553203$$

$$c=-20\sqrt{10}\approx -63.245553203$$

Steps by Finding Square Root

Swap sides so that all variable terms are on the left hand side.

$$c^{2}=4000$$

Take the square root of both sides of the equation.

$$c=20\sqrt{10} c=-20\sqrt{10}$$

Steps Using the Quadratic Formula

Swap sides so that all variable terms are on the left hand side.

$$c^{2}=4000$$

Subtract 4000 from both sides.

$$c^{2}-4000=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -4000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\left(-4000\right)}}{2}$$

Square 0.

$$c=\frac{0±\sqrt{-4\left(-4000\right)}}{2}$$

Multiply -4 times -4000.

$$c=\frac{0±\sqrt{16000}}{2}$$

Take the square root of 16000.

$$c=\frac{0±40\sqrt{10}}{2}$$

Now solve the equation c=\frac{0±40\sqrt{10}}{2} when ± is plus.

$$c=20\sqrt{10}$$

Now solve the equation c=\frac{0±40\sqrt{10}}{2} when ± is minus.

$$c=-20\sqrt{10}$$

The equation is now solved.

$$c=20\sqrt{10} c=-20\sqrt{10}$$