Solve x^2=3564

$$x ^ { 2 } = 3564$$

Solve for x

$$x=18\sqrt{11}\approx 59.699246226$$

$$x=-18\sqrt{11}\approx -59.699246226$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=18\sqrt{11} x=-18\sqrt{11}$$

Steps Using the Quadratic Formula

Subtract 3564 from both sides.

$$x^{2}-3564=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -3564 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-3564\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-3564\right)}}{2}$$

Multiply -4 times -3564.

$$x=\frac{0±\sqrt{14256}}{2}$$

Take the square root of 14256.

$$x=\frac{0±36\sqrt{11}}{2}$$

Now solve the equation x=\frac{0±36\sqrt{11}}{2} when ± is plus.

$$x=18\sqrt{11}$$

Now solve the equation x=\frac{0±36\sqrt{11}}{2} when ± is minus.

$$x=-18\sqrt{11}$$

The equation is now solved.

$$x=18\sqrt{11} x=-18\sqrt{11}$$