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

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Question 409464: 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. 8x^2+7x+3=0?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Reference is: ax^2 + bx+ c = 0
8x^2 + 7x+ 3 = 0
Note: b^2-4*a*c is the discriminant:
If b^2-4*a*c ≥ zero, then real solutions.

If b^2-4*a*c < 0 then irrational solutions (square root of a negative number)
49-4*8*3 = 49-96 = -47
|two irrational solutions
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