<PRE><B>Question 298352</B>
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.
s^2-5s-6=0
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a = 1 ; b = -5 ; c = -6
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b^2-4ac = 25 - 4*1*-6 = 49
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Since 49 is positive there are two different Real solutions.
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The discriminant does not quarantee the solutions 
will be rational, only that they will be Real.
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Cheers,
Stan H.
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