Answer:
x = -9 and x = 5
Step-by-step explanation:
[tex] {(x + 2)}^{2} + 1 = 50[/tex]
[tex] = {x}^{2} + 4x + 4 + 1 = 50[/tex]
[tex] = {x}^{2} + 4x + 5 = 50[/tex]
[tex] = {x}^{2} + 4x + 5 - 50 = 0[/tex]
[tex] = {x}^{2} + 9x - 5x - 45 = 0[/tex]
[tex] = x \times (x + 9) - 5(x + 9) = 0[/tex]
[tex] = (x + 9) \times (x - 5) = 0[/tex]
[tex] = x + 9 = 0[/tex]
[tex] x - 5 = 0[/tex]
[tex] = x = - 9[/tex]
[tex]x = 5[/tex]
