SOLUTION: determine whether the following equations have solutions that are two different rational solutions:two different irrational solutions:exactly one rational solution or two different

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Question 233100: determine whether the following equations have solutions that are two different rational solutions:two different irrational solutions:exactly one rational solution or two different imaginary solutions.
3 + 8z^2= -7z
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
determine whether the following equations have solutions that are two different rational solutions:two different irrational solutions:exactly one rational solution or two different imaginary solutions.
3 + 8z^2= -7z
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Rearrange:
8z^2+7z+3 = 0
a=8 ; b=7 ; c=3
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Discriminant = b^2-4ac = 49 -4*8*3 < 0
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Since the discriminant is < 0
the quadrated has two different imaginary solutions.
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Cheers,
Stan H.