Answer:
The solution set is {-12,2}.
Explanation:
We have given a quadratic equation.
x² + 10x = 24
We have to find the solution of above equation by completing square.
Adding (5)² to both sides of above equation, we have
x²+10+(5)² = 24+ (5)²
(x+5)² = 24+25
(x+5)² = 49
Taking square root to both sides of above equation, we have
x+5 = ±7
x+5 = 7 or x+5 = -7
x = 7-5 or x = -7-5
x = 2 or x = -12
Hence, the solution set is {-12,2}.