Solve x^2-7410=0

$$x ^ { 2 } - 7410 = 0$$

Solve for x

$$x=\sqrt{7410}\approx 86.081356867$$

$$x=-\sqrt{7410}\approx -86.081356867$$

Steps by Finding Square Root

Add 7410 to both sides. Anything plus zero gives itself.

$$x^{2}=7410$$

Take the square root of both sides of the equation.

$$x=\sqrt{7410} x=-\sqrt{7410}$$

Steps Using the Quadratic Formula

Quadratic equations like this one, with an x^{2} term but no x term, can still be solved using the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, once they are put in standard form: ax^{2}+bx+c=0.

$$x^{2}-7410=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -7410 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-7410\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-7410\right)}}{2}$$

Multiply -4 times -7410.

$$x=\frac{0±\sqrt{29640}}{2}$$

Take the square root of 29640.

$$x=\frac{0±2\sqrt{7410}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{7410}}{2} when ± is plus.

$$x=\sqrt{7410}$$

Now solve the equation x=\frac{0±2\sqrt{7410}}{2} when ± is minus.

$$x=-\sqrt{7410}$$

The equation is now solved.

$$x=\sqrt{7410} x=-\sqrt{7410}$$