Solve 170=x^2

$$170 = x ^ { 2 }$$

Solve for x

$$x=\sqrt{170}\approx 13.03840481$$

$$x=-\sqrt{170}\approx -13.03840481$$

Steps by Finding Square Root

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

$$x^{2}=170$$

Take the square root of both sides of the equation.

$$x=\sqrt{170} x=-\sqrt{170}$$

Steps Using the Quadratic Formula

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

$$x^{2}=170$$

Subtract 170 from both sides.

$$x^{2}-170=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -170 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-170\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-170\right)}}{2}$$

Multiply -4 times -170.

$$x=\frac{0±\sqrt{680}}{2}$$

Take the square root of 680.

$$x=\frac{0±2\sqrt{170}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{170}}{2} when ± is plus.

$$x=\sqrt{170}$$

Now solve the equation x=\frac{0±2\sqrt{170}}{2} when ± is minus.

$$x=-\sqrt{170}$$

The equation is now solved.

$$x=\sqrt{170} x=-\sqrt{170}$$