Find the real solutions of the equation x 92 11 x 9 24

Find the real solutions of the equation. (x + 9)^2 + 11 (x + 9) + 24 = 0 What is the solution set? Select the correct choice below and fill in any answer boxes in your choice.

Solution

(x +9)^2 +11(x+9) +24 =0

let x+9 =y

y^2 + 11y +24 =0

y^2 +8y +3y +24=0

y(y+8) + 3(y+8)=0

(y+3)(y+8)=0

y = -3 ; y = -8

So,x+9 =-3 ----> x = -12

x+9 =-8 ----> x = -17

Solution ( -12 , -17)