Respuesta :

Answer:

(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