Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? {-12, 2} {-2, 12}

Answer: I could be wrong so don't get your hopes up but I believe the solution set would be {-2,12}

The solution set is {-12,2}.

Step-by-step 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}.