Solve x^2-323100=0

$$x ^ { 2 } - 323100 = 0$$

Solve for x

$$x=30\sqrt{359}\approx 568.418859645$$

$$x=-30\sqrt{359}\approx -568.418859645$$

Steps by Finding Square Root

Add 323100 to both sides. Anything plus zero gives itself.

$$x^{2}=323100$$

Take the square root of both sides of the equation.

$$x=30\sqrt{359} x=-30\sqrt{359}$$

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.

$$x^{2}-323100=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -323100 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-323100\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-323100\right)}}{2}$$

Multiply -4 times -323100.

$$x=\frac{0±\sqrt{1292400}}{2}$$

Take the square root of 1292400.

$$x=\frac{0±60\sqrt{359}}{2}$$

Now solve the equation x=\frac{0±60\sqrt{359}}{2} when ± is plus.

$$x=30\sqrt{359}$$

Now solve the equation x=\frac{0±60\sqrt{359}}{2} when ± is minus.

$$x=-30\sqrt{359}$$

The equation is now solved.

$$x=30\sqrt{359} x=-30\sqrt{359}$$