Answer:
- 4
Step-by-step explanation:
(2x + 4)² + 1 = 5 ← expand left side using FOIL and simplify
4x² + 16x + 16 + 1 = 5
4x² + 16x + 17 = 5 ( subtract 5 from both sides )
4x² + 16x + 12 = 0 ( divide terms by common factor 4 )
x² + 4x + 3 = 0 ← in standard form
(x + 3)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 1 = 0 ⇒ x = - 1
Summation of solutions = - 3 + (- 1) = - 3 - 1 = - 4
