Solve x^2=56

$$x ^ { 2 } = 56$$

Solve for x

$$x=2\sqrt{14}\approx 7.483314774$$

$$x=-2\sqrt{14}\approx -7.483314774$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=2\sqrt{14} x=-2\sqrt{14}$$

Steps Using the Quadratic Formula

Subtract 56 from both sides.

$$x^{2}-56=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -56 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-56\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-56\right)}}{2}$$

Multiply -4 times -56.

$$x=\frac{0±\sqrt{224}}{2}$$

Take the square root of 224.

$$x=\frac{0±4\sqrt{14}}{2}$$

Now solve the equation x=\frac{0±4\sqrt{14}}{2} when ± is plus.

$$x=2\sqrt{14}$$

Now solve the equation x=\frac{0±4\sqrt{14}}{2} when ± is minus.

$$x=-2\sqrt{14}$$

The equation is now solved.

$$x=2\sqrt{14} x=-2\sqrt{14}$$