Solve x^2=3435

$$x ^ { 2 } = 3435$$

Solve for x

$$x=\sqrt{3435}\approx 58.608873048$$

$$x=-\sqrt{3435}\approx -58.608873048$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x=\sqrt{3435} x=-\sqrt{3435}$$

Steps Using the Quadratic Formula

Subtract 3435 from both sides.

$$x^{2}-3435=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -3435 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-3435\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-3435\right)}}{2}$$

Multiply -4 times -3435.

$$x=\frac{0±\sqrt{13740}}{2}$$

Take the square root of 13740.

$$x=\frac{0±2\sqrt{3435}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{3435}}{2} when ± is plus.

$$x=\sqrt{3435}$$

Now solve the equation x=\frac{0±2\sqrt{3435}}{2} when ± is minus.

$$x=-\sqrt{3435}$$

The equation is now solved.

$$x=\sqrt{3435} x=-\sqrt{3435}$$