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) About Me  (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.

 x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ 

If b^2-4*a*c < 0 then irrational solutions (square root of a negative number)

                     49-4*8*3 = 49-96 = -47

x+=+%28-7+%2B-+i%2Asqrt%28+47+%29%29%2F%2816%29+  |two irrational solutions