Solve x*x=750

$$x \times x=750$$

Solve for x

$$x=5\sqrt{30}\approx 27.386127875$$

$$x=-5\sqrt{30}\approx -27.386127875$$

Steps by Finding Square Root

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

$$x^{2}=750$$

Take the square root of both sides of the equation.

$$x=5\sqrt{30} x=-5\sqrt{30}$$

Steps Using the Quadratic Formula

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

$$x^{2}=750$$

Subtract 750 from both sides.

$$x^{2}-750=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -750 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-750\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-750\right)}}{2}$$

Multiply -4 times -750.

$$x=\frac{0±\sqrt{3000}}{2}$$

Take the square root of 3000.

$$x=\frac{0±10\sqrt{30}}{2}$$

Now solve the equation x=\frac{0±10\sqrt{30}}{2} when ± is plus.

$$x=5\sqrt{30}$$

Now solve the equation x=\frac{0±10\sqrt{30}}{2} when ± is minus.

$$x=-5\sqrt{30}$$

The equation is now solved.

$$x=5\sqrt{30} x=-5\sqrt{30}$$