SOLUTION: Explain why must have one positive real and one negative real solution when b and c are real numbers and, For what values of b will have real solutions? Clearly explain the reason

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Question 995789: Explain why must have one positive real and one negative real solution when b and c are real numbers and, For what values of b will have real solutions? Clearly explain the reasoning you followed to reach your conclusion.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Why do you believe the description could be justified?

Example: %282x-11%29%28x-2%29=0
2x%5E2-11x-4x%2B22=0
2x%5E2-15x%2B22=0

a,b, and c are real numbers, and the two solutions are 11%2F2 and 2, both being POSITIVE.