Solve x^2+10x=24 by completing the sqaure. which is the solution set of the equation

{-12, 2}

Step-by-step explanation:

x^2 + 10x = 24

Take half of the x-term coefficient and square it. Add that to both sides.

Half of 10 is 5. 5^2 = 25.

x^2 + 10x + 25 = 24 + 25

(x + 5) ^2 = 49

x + 5 = + / -sqrt (49)

x + 5 = 7 or x + 5 = - 7

x = 2 or x = - 12

{-12, 2}