Solve by Factoring square root of x^2+2x-10 = square root of x+20

$\sqrt{x^{2} + 2 x - 10} = \sqrt{x + 20}$

Step 1

Subtract $\sqrt{x + 20}$ from both sides of the equation.

$\sqrt{x^{2} + 2 x - 10} - \sqrt{x + 20} = 0$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = - 6, 5$

Step 3