Solve x^2=3200

$$x ^ { 2 } = 3200$$

Solve for x

$$x=40\sqrt{2}\approx 56.568542495$$

$$x=-40\sqrt{2}\approx -56.568542495$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=40\sqrt{2} x=-40\sqrt{2}$$

Steps Using the Quadratic Formula

Subtract 3200 from both sides.

$$x^{2}-3200=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -3200 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-3200\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-3200\right)}}{2}$$

Multiply -4 times -3200.

$$x=\frac{0±\sqrt{12800}}{2}$$

Take the square root of 12800.

$$x=\frac{0±80\sqrt{2}}{2}$$

Now solve the equation x=\frac{0±80\sqrt{2}}{2} when ± is plus.

$$x=40\sqrt{2}$$

Now solve the equation x=\frac{0±80\sqrt{2}}{2} when ± is minus.

$$x=-40\sqrt{2}$$

The equation is now solved.

$$x=40\sqrt{2} x=-40\sqrt{2}$$