Solve the following equation. List all solutions. If there is no solution, type DNE.

Question

(x+1)^2=16x-44

x=

Answer 1

x^2 + 2x + 1 = 16x - 44

x^2 -14x + 45 = 0

(x-9)(x-5) = 0

x = 5 or 9

Answer 2

(x+1)^2= 16x-44 first expand (x+1)^2

x^2+2x+1 =16x-44 Move all terms to the left side

x^2 -14x +45 =0 Factor

(x-5)(x-9)=0

x=5

x=9