SOLUTION: Explain why x^2+bx-c=0 must have one positive real and one negative real solution when b and c are real numbers and c>0 . For what values of b will x^2+bx+1=0have real solutions

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Explain why x^2+bx-c=0 must have one positive real and one negative real solution when b and c are real numbers and c>0 . For what values of b will x^2+bx+1=0have real solutions      Log On


   



Question 995840: Explain why x^2+bx-c=0 must have one positive real and one negative real solution when b and c are real numbers and c>0 .
For what values of b will x^2+bx+1=0have 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!
The first part is wrong. That cannot be justified. An example was already given a few minutes ago.

Use the discriminant for the second question.
x%5E2%2Bbx%2B1=0 --- given equation;
b%5E2-4%2A1%2A1 --- the discriminant, using a=1 and c=1;
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b%5E2-4%3E=0 --- discriminant must be non-zero for the original quadratic equation to have real solutions.
b%5E2=4
highlight%28b=0%2B-+2%29