Solve x^2=925

$${ x }^{ 2 } = 925$$

Solve for x

$$x=5\sqrt{37}\approx 30.413812651$$

$$x=-5\sqrt{37}\approx -30.413812651$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=5\sqrt{37} x=-5\sqrt{37}$$

Steps Using the Quadratic Formula

Subtract 925 from both sides.

$$x^{2}-925=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -925 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-925\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-925\right)}}{2}$$

Multiply -4 times -925.

$$x=\frac{0±\sqrt{3700}}{2}$$

Take the square root of 3700.

$$x=\frac{0±10\sqrt{37}}{2}$$

Now solve the equation x=\frac{0±10\sqrt{37}}{2} when ± is plus.

$$x=5\sqrt{37}$$

Now solve the equation x=\frac{0±10\sqrt{37}}{2} when ± is minus.

$$x=-5\sqrt{37}$$

The equation is now solved.

$$x=5\sqrt{37} x=-5\sqrt{37}$$