Solve x^2+20-1700=0

$${ x }^{ 2 } +20-1700=0$$

Solve for x

$$x=4\sqrt{105}\approx 40.987803064$$

$$x=-4\sqrt{105}\approx -40.987803064$$

Steps by Finding Square Root

Subtract 1700 from 20 to get -1680.

$$x^{2}-1680=0$$

Add 1680 to both sides. Anything plus zero gives itself.

$$x^{2}=1680$$

Take the square root of both sides of the equation.

$$x=4\sqrt{105} x=-4\sqrt{105}$$

Steps Using the Quadratic Formula

Subtract 1700 from 20 to get -1680.

$$x^{2}-1680=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -1680 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-1680\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-1680\right)}}{2}$$

Multiply -4 times -1680.

$$x=\frac{0±\sqrt{6720}}{2}$$

Take the square root of 6720.

$$x=\frac{0±8\sqrt{105}}{2}$$

Now solve the equation x=\frac{0±8\sqrt{105}}{2} when ± is plus.

$$x=4\sqrt{105}$$

Now solve the equation x=\frac{0±8\sqrt{105}}{2} when ± is minus.

$$x=-4\sqrt{105}$$

The equation is now solved.

$$x=4\sqrt{105} x=-4\sqrt{105}$$