Solve x^2+198-2080=0

$$x ^ { 2 } + 198 - 2080 = 0$$

Solve for x

$$x=\sqrt{1882}\approx 43.382023927$$

$$x=-\sqrt{1882}\approx -43.382023927$$

Steps by Finding Square Root

Subtract 2080 from 198 to get -1882.

$$x^{2}-1882=0$$

Add 1882 to both sides. Anything plus zero gives itself.

$$x^{2}=1882$$

Take the square root of both sides of the equation.

$$x=\sqrt{1882} x=-\sqrt{1882}$$

Steps Using the Quadratic Formula

Subtract 2080 from 198 to get -1882.

$$x^{2}-1882=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -1882 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-1882\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-1882\right)}}{2}$$

Multiply -4 times -1882.

$$x=\frac{0±\sqrt{7528}}{2}$$

Take the square root of 7528.

$$x=\frac{0±2\sqrt{1882}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{1882}}{2} when ± is plus.

$$x=\sqrt{1882}$$

Now solve the equation x=\frac{0±2\sqrt{1882}}{2} when ± is minus.

$$x=-\sqrt{1882}$$

The equation is now solved.

$$x=\sqrt{1882} x=-\sqrt{1882}$$