Solve x^2=148

$$x ^ { 2 } = 148$$

Solve for x

$$x=2\sqrt{37}\approx 12.165525061$$

$$x=-2\sqrt{37}\approx -12.165525061$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=2\sqrt{37} x=-2\sqrt{37}$$

Steps Using the Quadratic Formula

Subtract 148 from both sides.

$$x^{2}-148=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -148 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-148\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-148\right)}}{2}$$

Multiply -4 times -148.

$$x=\frac{0±\sqrt{592}}{2}$$

Take the square root of 592.

$$x=\frac{0±4\sqrt{37}}{2}$$

Now solve the equation x=\frac{0±4\sqrt{37}}{2} when ± is plus.

$$x=2\sqrt{37}$$

Now solve the equation x=\frac{0±4\sqrt{37}}{2} when ± is minus.

$$x=-2\sqrt{37}$$

The equation is now solved.

$$x=2\sqrt{37} x=-2\sqrt{37}$$