Question

Solve x2 + 10x + 24 = 0 by completing the square. Show your work

Answer 1

x2 + 10x + 24 = 0
x2 + 10x + 24 +1-1= 0
x2 + 10x + 25 -1 = 0
x2 + 10x + 25 = 1
(x+5)^2=1

x+5 = ±√1 = ±1

so x=-6 or x=-4