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

(x+5) ^2 = 1

Step-by-step explanation:

x^2+10x+24 = 0

Subtract 24 from each side

x^2+10x+24 - 24 = 0-24

x^2+10x = - 24

Take the coefficient of x

10

Divide by 2

10/2 = 5

Square it

5^2 = 25

Add it to each side

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

Take the coefficient divided by 2 inside the factor

(x+10/2) ^2 = - 24+25

(x+5) ^2 = 1