Solve 36.4=x*x

$$36.4 = x \cdot x$$

Solve for x

$$x = \frac{\sqrt{910}}{5} \approx 6.033241252$$

$$x = -\frac{\sqrt{910}}{5} \approx -6.033241252$$

Steps by Finding Square Root

Multiply x and x to get x^{2}.

$$36.4=x^{2}$$

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

$$x^{2}=36.4$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{910}}{5} x=-\frac{\sqrt{910}}{5}$$

Steps Using the Quadratic Formula

Multiply x and x to get x^{2}.

$$36.4=x^{2}$$

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

$$x^{2}=36.4$$

Subtract 36.4 from both sides.

$$x^{2}-36.4=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -36.4 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-36.4\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-36.4\right)}}{2}$$

Multiply -4 times -36.4.

$$x=\frac{0±\sqrt{145.6}}{2}$$

Take the square root of 145.6.

$$x=\frac{0±\frac{2\sqrt{910}}{5}}{2}$$

Now solve the equation x=\frac{0±\frac{2\sqrt{910}}{5}}{2} when ± is plus.

$$x=\frac{\sqrt{910}}{5}$$

Now solve the equation x=\frac{0±\frac{2\sqrt{910}}{5}}{2} when ± is minus.

$$x=-\frac{\sqrt{910}}{5}$$

The equation is now solved.

$$x=\frac{\sqrt{910}}{5} x=-\frac{\sqrt{910}}{5}$$