SOLUTION: Evaluate the discriminate b^2-4ac. Then use the answer to state how many real number solutions exist for the rquation y=x^2+8x+16

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Question 156932: Evaluate the discriminate b^2-4ac. Then use the answer to state how many real number solutions exist for the rquation
y=x^2+8x+16

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

From x%5E2%2B8x%2B16 we can see that a=1, b=8, and c=16


D=b%5E2-4ac Start with the discriminant formula.


D=%288%29%5E2-4%281%29%2816%29 Plug in a=1, b=8, and c=16


D=64-4%281%29%2816%29 Square 8 to get 64


D=64-64 Multiply 4%281%29%2816%29 to get %284%29%2816%29=64


D=0 Subtract 64 from 64 to get 0


Since the discriminant is equal to zero, this means that there is one real solution.