Solve 89+x^2=152522525554715

$$89+ { x }^{ 2 } =152522525554715$$

Solve for x

$$x=\sqrt{152522525554626}\approx 12350001.0346002$$

$$x=-\sqrt{152522525554626}\approx -12350001.0346002$$

Steps by Finding Square Root

Subtract 89 from both sides.

$$x^{2}=152522525554715-89$$

Subtract 89 from 152522525554715 to get 152522525554626.

$$x^{2}=152522525554626$$

Take the square root of both sides of the equation.

$$x=\sqrt{152522525554626} x=-\sqrt{152522525554626}$$

Steps Using the Quadratic Formula

Subtract 152522525554715 from both sides.

$$89+x^{2}-152522525554715=0$$

Subtract 152522525554715 from 89 to get -152522525554626.

$$-152522525554626+x^{2}=0$$

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.

$$x^{2}-152522525554626=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -152522525554626 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-152522525554626\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-152522525554626\right)}}{2}$$

Multiply -4 times -152522525554626.

$$x=\frac{0±\sqrt{610090102218504}}{2}$$

Take the square root of 610090102218504.

$$x=\frac{0±2\sqrt{152522525554626}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{152522525554626}}{2} when ± is plus.

$$x=\sqrt{152522525554626}$$

Now solve the equation x=\frac{0±2\sqrt{152522525554626}}{2} when ± is minus.

$$x=-\sqrt{152522525554626}$$

The equation is now solved.

$$x=\sqrt{152522525554626} x=-\sqrt{152522525554626}$$