Solve 175=x^2

$$175 = x ^ { 2 }$$

Solve for x

$$x=5\sqrt{7}\approx 13.228756555$$

$$x=-5\sqrt{7}\approx -13.228756555$$

Steps by Finding Square Root

Swap sides so that all variable terms are on the left hand side.

$$x^{2}=175$$

Take the square root of both sides of the equation.

$$x=5\sqrt{7} x=-5\sqrt{7}$$

Steps Using the Quadratic Formula

Swap sides so that all variable terms are on the left hand side.

$$x^{2}=175$$

Subtract 175 from both sides.

$$x^{2}-175=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -175 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-175\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-175\right)}}{2}$$

Multiply -4 times -175.

$$x=\frac{0±\sqrt{700}}{2}$$

Take the square root of 700.

$$x=\frac{0±10\sqrt{7}}{2}$$

Now solve the equation x=\frac{0±10\sqrt{7}}{2} when ± is plus.

$$x=5\sqrt{7}$$

Now solve the equation x=\frac{0±10\sqrt{7}}{2} when ± is minus.

$$x=-5\sqrt{7}$$

The equation is now solved.

$$x=5\sqrt{7} x=-5\sqrt{7}$$