SOLUTION: Can you please help me solve and leave in simplest radical form the following: (((x^2+8x= -16)))

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Question 196370This question is from textbook algebra structure and method
: Can you please help me solve and leave in simplest radical form the following: (((x^2+8x= -16))) This question is from textbook algebra structure and method

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B8x=+-16
Using the complete the square method:
x%5E2+%2B+8x+%2B+%288%2F2%29%5E2+=+-16+%2B+%288%2F2%29%5E2
The left side is a perfect square
%28x+%2B+4%29%5E2+=+-16+%2B+16
%28x+%2B+4%29%5E2+=+0
x+%2B+4+=+0
x+=+-4
This is a double root at x+=+-4
I'll plot the function
+graph%28+300%2C+300%2C+-10%2C+1%2C+-1%2C+10%2C++x%5E2+%2B+8x+%2B+16%29+