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 312495: 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 + 18x + 58 = 0
Answer by CharlesG2(834) About Me  (Show Source):
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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 + 18x + 58 = 0
a=1, b=18, c=58
discriminant = b^2-4*a*c
+18%5E2+-+4%2A1%2A58+
+324+-+232+
+92+
92 > 0
so 2 different rational solutions