Question

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

Answer 1

{-12, 2}

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}