Solve 2x*x=60

$$2 x \cdot x = 60$$

Solve for x

$$x=\sqrt{30}\approx 5.477225575$$

$$x=-\sqrt{30}\approx -5.477225575$$

Steps by Finding Square Root

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

$$2x^{2}=60$$

Divide both sides by 2.

$$x^{2}=\frac{60}{2}$$

Divide 60 by 2 to get 30.

$$x^{2}=30$$

Take the square root of both sides of the equation.

$$x=\sqrt{30} x=-\sqrt{30}$$

Steps Using the Quadratic Formula

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

$$2x^{2}=60$$

Subtract 60 from both sides.

$$2x^{2}-60=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 2 for a, 0 for b, and -60 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-60\right)}}{2\times 2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-60\right)}}{2\times 2}$$

Multiply -4 times 2.

$$x=\frac{0±\sqrt{-8\left(-60\right)}}{2\times 2}$$

Multiply -8 times -60.

$$x=\frac{0±\sqrt{480}}{2\times 2}$$

Take the square root of 480.

$$x=\frac{0±4\sqrt{30}}{2\times 2}$$

Multiply 2 times 2.

$$x=\frac{0±4\sqrt{30}}{4}$$

Now solve the equation x=\frac{0±4\sqrt{30}}{4} when ± is plus.

$$x=\sqrt{30}$$

Now solve the equation x=\frac{0±4\sqrt{30}}{4} when ± is minus.

$$x=-\sqrt{30}$$

The equation is now solved.

$$x=\sqrt{30} x=-\sqrt{30}$$