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 324877: 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.
25x^2 - 10x + 1 = 0
Write a quadratic equation having the given numbers as solutions.
-3.5, 2.2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
D=b%5E2-4ac
D=%28-10%29%5E2-4%2825%29%281%29
D=100-100
D=0
A double real root (exactly one rational solution).
.
.
.
f%28x%29=%28x%2B3.5%29%28x-2.2%29
Use the FOIL method,
f%28x%29=x%5E2-2.2x%2B3.5x-7.7
f%28x%29=x%5E2%2B1.3x-7.7