Solve x*x+30=2800

$$x \times x+30=2800$$

Solve for x

$$x=\sqrt{2770}\approx 52.630789468$$

$$x=-\sqrt{2770}\approx -52.630789468$$

Steps by Finding Square Root

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

$$x^{2}+30=2800$$

Subtract 30 from both sides.

$$x^{2}=2800-30$$

Subtract 30 from 2800 to get 2770.

$$x^{2}=2770$$

Take the square root of both sides of the equation.

$$x=\sqrt{2770} x=-\sqrt{2770}$$

Steps Using the Quadratic Formula

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

$$x^{2}+30=2800$$

Subtract 2800 from both sides.

$$x^{2}+30-2800=0$$

Subtract 2800 from 30 to get -2770.

$$x^{2}-2770=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -2770 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-2770\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-2770\right)}}{2}$$

Multiply -4 times -2770.

$$x=\frac{0±\sqrt{11080}}{2}$$

Take the square root of 11080.

$$x=\frac{0±2\sqrt{2770}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{2770}}{2} when ± is plus.

$$x=\sqrt{2770}$$

Now solve the equation x=\frac{0±2\sqrt{2770}}{2} when ± is minus.

$$x=-\sqrt{2770}$$

The equation is now solved.

$$x=\sqrt{2770} x=-\sqrt{2770}$$