SOLUTION: Hello, I need help with a problem, does anyone know how to solve this problem ! Use the discriminant to determine whether the following equations have solutions that are: two di

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Question 564132: Hello, I need help with a problem, does anyone know how to solve this problem !
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

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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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x^2 + 4x + 4 = 0
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a = 1 ; b = 4 ; c = 4
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Discriminant: b^2-4ac = 4^2-4*1*4 = 16 - 16 = 0
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That means there is exactly one rational solution.
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Cheers,
Stan H.
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