Solve x^2+7=93

$$x ^ { 2 } + 7 = 93$$

Solve for x

$$x=\sqrt{86}\approx 9.273618495$$

$$x=-\sqrt{86}\approx -9.273618495$$

Steps by Finding Square Root

Subtract 7 from both sides.

$$x^{2}=93-7$$

Subtract 7 from 93 to get 86.

$$x^{2}=86$$

Take the square root of both sides of the equation.

$$x=\sqrt{86} x=-\sqrt{86}$$

Steps Using the Quadratic Formula

Subtract 93 from both sides.

$$x^{2}+7-93=0$$

Subtract 93 from 7 to get -86.

$$x^{2}-86=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -86 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-86\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-86\right)}}{2}$$

Multiply -4 times -86.

$$x=\frac{0±\sqrt{344}}{2}$$

Take the square root of 344.

$$x=\frac{0±2\sqrt{86}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{86}}{2} when ± is plus.

$$x=\sqrt{86}$$

Now solve the equation x=\frac{0±2\sqrt{86}}{2} when ± is minus.

$$x=-\sqrt{86}$$

The equation is now solved.

$$x=\sqrt{86} x=-\sqrt{86}$$