Solve x^2=8704

$$x ^ { 2 } = 8704$$

Solve for x

$$x=16\sqrt{34}\approx 93.295230318$$

$$x=-16\sqrt{34}\approx -93.295230318$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=16\sqrt{34} x=-16\sqrt{34}$$

Steps Using the Quadratic Formula

Subtract 8704 from both sides.

$$x^{2}-8704=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -8704 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-8704\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-8704\right)}}{2}$$

Multiply -4 times -8704.

$$x=\frac{0±\sqrt{34816}}{2}$$

Take the square root of 34816.

$$x=\frac{0±32\sqrt{34}}{2}$$

Now solve the equation x=\frac{0±32\sqrt{34}}{2} when ± is plus.

$$x=16\sqrt{34}$$

Now solve the equation x=\frac{0±32\sqrt{34}}{2} when ± is minus.

$$x=-16\sqrt{34}$$

The equation is now solved.

$$x=16\sqrt{34} x=-16\sqrt{34}$$