Solve 2x*x=335

$$2x \times x=335$$

Solve for x

$$x = \frac{\sqrt{670}}{2} \approx 12.942179106$$

$$x = -\frac{\sqrt{670}}{2} \approx -12.942179106$$

Steps by Finding Square Root

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

$$2x^{2}=335$$

Divide both sides by 2.

$$x^{2}=\frac{335}{2}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{670}}{2} x=-\frac{\sqrt{670}}{2}$$

Steps Using the Quadratic Formula

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

$$2x^{2}=335$$

Subtract 335 from both sides.

$$2x^{2}-335=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 2 for a, 0 for b, and -335 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-335\right)}}{2\times 2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-335\right)}}{2\times 2}$$

Multiply -4 times 2.

$$x=\frac{0±\sqrt{-8\left(-335\right)}}{2\times 2}$$

Multiply -8 times -335.

$$x=\frac{0±\sqrt{2680}}{2\times 2}$$

Take the square root of 2680.

$$x=\frac{0±2\sqrt{670}}{2\times 2}$$

Multiply 2 times 2.

$$x=\frac{0±2\sqrt{670}}{4}$$

Now solve the equation x=\frac{0±2\sqrt{670}}{4} when ± is plus.

$$x=\frac{\sqrt{670}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{670}}{4} when ± is minus.

$$x=-\frac{\sqrt{670}}{2}$$

The equation is now solved.

$$x=\frac{\sqrt{670}}{2} x=-\frac{\sqrt{670}}{2}$$