Solve 2x*x=115.52=

$$2x \times x=115.52=$$

Solve for x

$$x=7.6$$

$$x=-7.6$$

Steps by Finding Square Root

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

$$2x^{2}=115.52$$

Divide both sides by 2.

$$x^{2}=\frac{115.52}{2}$$

Expand \frac{115.52}{2} by multiplying both numerator and the denominator by 100.

$$x^{2}=\frac{11552}{200}$$

Reduce the fraction \frac{11552}{200} to lowest terms by extracting and canceling out 8.

$$x^{2}=\frac{1444}{25}$$

Take the square root of both sides of the equation.

$$x=\frac{38}{5} x=-\frac{38}{5}$$

Steps Using the Quadratic Formula

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

$$2x^{2}=115.52$$

Subtract 115.52 from both sides.

$$2x^{2}-115.52=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 2 for a, 0 for b, and -115.52 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-115.52\right)}}{2\times 2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-115.52\right)}}{2\times 2}$$

Multiply -4 times 2.

$$x=\frac{0±\sqrt{-8\left(-115.52\right)}}{2\times 2}$$

Multiply -8 times -115.52.

$$x=\frac{0±\sqrt{924.16}}{2\times 2}$$

Take the square root of 924.16.

$$x=\frac{0±\frac{152}{5}}{2\times 2}$$

Multiply 2 times 2.

$$x=\frac{0±\frac{152}{5}}{4}$$

Now solve the equation x=\frac{0±\frac{152}{5}}{4} when ± is plus.

$$x=\frac{38}{5}$$

Now solve the equation x=\frac{0±\frac{152}{5}}{4} when ± is minus.

$$x=-\frac{38}{5}$$

The equation is now solved.

$$x=\frac{38}{5} x=-\frac{38}{5}$$