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

Question 460102: 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 jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
From we can see that , , and

Start with the discriminant formula.

Plug in , , and

Square to get

Multiply to get

Subtract from to get

So the discriminant is

Since the discriminant is less than zero, this means that there are two complex solutions.

In other words, there are no real solutions.

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