SOLUTION: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rationa

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Question 530124: Use the discriminant to 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.
x2 = -4x – 4
Two different rational solutions
Exactly one rational solution
Two different irrational solutions
Two different imaginary solutions
Answer by stanbon(57984) (Show Source):
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Use the discriminant to 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.
x^2 = -4x – 4
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Rearrange:
x^2+4x+4 = 0
a = 1 ; b = 4 ; c = 4
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b^2 -4ac = 16-4*1*4 = 0
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Since the discriminant is zero
there is exactly one rational solution.
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Cheers,
stan H.
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Two different rational solutions
Exactly one rational solution
Two different irrational solutions
Two different imaginary solutions