What are the solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? use u substitution and the quadratic formula to solve. a. x= -8+5 square root 2b) x=-6+5 square root 2c) x= -4+5 square root 2d) x= -2+5 square root 2?

Let u = x+2.  That makes our equation, in terms of u:  .  Fitting this into the quadratic formula looks like this:  .  Simplifying a bit gives us  .  Simplifying that in terms of the radical gives us  .  Reducing that numerator by the 2 in the denominator gives us  .  If u = x + 2, then we make that substitution now to solve for x:    and  ;    and 

The correct answer is: b