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 313312: 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 + 4x - 7 = 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+a=1+
b=4
c=-7
D=b%5E2-4ac
D=16-4%281%29%28-7%29
D=44
Since D%3E0, there will be two different solutions.
Since 44 is not a perfect square, the solutions will be irrational.