SOLUTION: Okay, so the problem is (x+2)^2=-7 I simplified it to (x+2)(x+2)=-7. And then I did, x^2+4x+4=-7. I added the negative 7 to the 4 making the problem x^2+4x+11=0 and then that's wh

Algebra ->  Equations -> SOLUTION: Okay, so the problem is (x+2)^2=-7 I simplified it to (x+2)(x+2)=-7. And then I did, x^2+4x+4=-7. I added the negative 7 to the 4 making the problem x^2+4x+11=0 and then that's wh      Log On


   



Question 763687: Okay, so the problem is (x+2)^2=-7
I simplified it to (x+2)(x+2)=-7. And then I did, x^2+4x+4=-7. I added the negative 7 to the 4 making the problem x^2+4x+11=0 and then that's when I tried to use the quadratic formula but it comes out as -4 +over- radical -28 all over 2. Help me please!!!!!!!!

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Your steps are in the wrong direction. The given equation is in a form easy to solve for x. Trying to factor, or trying to put into general form is counter productive. Just solve for x without any tricks. Do you see, just by looking at the equation, the solution will contain imaginary numbers?

%28x%2B2%29%5E2=-7
%28%28x%2B2%29%5E2%29%5E%281%2F2%29=%28-7%29%5E%281%2F2%29
%28x%2B2%29=0%2B-+sqrt%28-7%29
x=-2%2B-+sqrt%28-7%29

Using i%5E2=-1,
highlight%28x=2%2B-+i%2Asqrt%287%29%29