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

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Question 282225: 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 - 12x + 34 = 0
Answer by Mathematicians(84) About Me  (Show Source):
You can put this solution on YOUR website!
The discriminant is (racist, lol jk):
%28b%5E2+-+4ac%29
in your case: a = 1, b = -12, c = 34
%28%28-12%29%5E2+-+4+%2A+1+%2A+34%29
%28144+-+136%29
%288%29
Basically, after this point. If the discriminant is:
< 0, it will have two distinct imaginary roots.
= 0, it will have a repeated root
> 0, it will have two distinct real roots
your answer is >0
=> it will have two distinct real roots