Question

Solve by completing the square.

x² - 2x - 24 = 0

Answer 1

x^2-2x=24
x^2-2x+c-c=24
c=[(-2)/2]^2=(-1)^2=1
x^2-2x+1-1=24
(x-1)^2-1=24
(x-1)^2=25
sqrt[(x-1)^2]=sqrt(25)
x-1=positive or negative 5= +/-5
x-1=+/-5
x=1+/-5
x=6, x=-4