What is the solution to the equation square root x2 + 2x - 25 = square root x + 5

Solutions to the equation are 5, - 6

Step-by-step explanation:

Step 1: Equation is √ (x² + 2x - 25) = √ (x + 5). Square both sides to simplify the equation

⇒ x² + 2x - 25 = x + 5

⇒ x² + x - 30 = 0

⇒ x² + 6x - 5x - 30 = 0

⇒ x (x + 6) - 5 (x + 6) = 0

⇒ (x - 5) (x + 6) = 0

⇒ x = 5, - 6