SOLUTION: How many real and imaginary roots does 4x^2+8x+4 have?

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Question 551109: How many real and imaginary roots does 4x^2+8x+4 have?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
From 4x%5E2%2B8x%2B4 we can see that a=4, b=8, and c=4


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


D=%288%29%5E2-4%284%29%284%29 Plug in a=4, b=8, and c=4


D=64-4%284%29%284%29 Square 8 to get 64


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


D=0 Subtract 64 from 64 to get 0


So the discriminant is D=0


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


So there are no imaginary roots.