Question

b) 2x² + x.(x + 2) – (x + 3).(x – 3) = 2.(x + 1)²

Answer 1

$2x^2 + x.(x + 2) - (x + 3).(x -3) = 2.(x + 1)^2 \\ \\2x^2 + x^2 + 2x - x^2 - 9 = 2(x^2 + 2x + 1) \\ \\ 2x^2 + x^2 - x^2 + 2x + 9 = 2x^2 +4x + 2 \\ \\ 2x^2 + 2x + 9 = 2x^2 + 4x + 2 \\ \\ 2x^2 + 2x + 9 - 2x^2 - 4x - 2 = 0 \\ \\ -2x + 7 = 0 (-1)\\ \\ 2x - 7 = 0 \\ \\ 2x = -7 \\ \\ =\ \textgreater \ x = -\dfrac{7}{2}$