Solve x^2=55

$$x ^ { 2 } = 55$$

Solve for x

$$x=\sqrt{55}\approx 7.416198487$$

$$x=-\sqrt{55}\approx -7.416198487$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=\sqrt{55} x=-\sqrt{55}$$

Steps Using the Quadratic Formula

Subtract 55 from both sides.

$$x^{2}-55=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -55 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-55\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-55\right)}}{2}$$

Multiply -4 times -55.

$$x=\frac{0±\sqrt{220}}{2}$$

Take the square root of 220.

$$x=\frac{0±2\sqrt{55}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{55}}{2} when ± is plus.

$$x=\sqrt{55}$$

Now solve the equation x=\frac{0±2\sqrt{55}}{2} when ± is minus.

$$x=-\sqrt{55}$$

The equation is now solved.

$$x=\sqrt{55} x=-\sqrt{55}$$