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
