Question

x^^2 + 10x + 24 = 0 by completing the square

Answer 1

x^2+10x +24=0
consider x^2+10x first
x^2 +10x = x^2 +(1/2)(20)x = x^2 +(2)(5x)+5^2-5^2 = (x+5)^2-5^2
x^2+10x +24=0
(x+5)^2-5^2+24=0
(x+5)^2=1
(x+5) = 1 or -1
x=-4 or -6