Equation: Connect A, C if Ax^2 + 2x + C = 0, A not zero

xfilth

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Apr 27, 2008
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How do I find the connection between A and C, when the following equation has only 1 solution?

Ax^2 + 2x + C = 0
A =/= 0

I hope this is the right forum to ask in
Thanks alot ;)
 
Re: Equotation help

Every quadratic has two solutions. But I think what you mean is this one must have one root of multiplicity two.

In that event, the discriminant would be equal to 0.

\(\displaystyle b^{2}-4ac=0\)

\(\displaystyle 4-4AC=0\)

Solve for A in terms of C and see the relationship.
 
Re: Equation help

Sounds about right, thanks!

Yeah, it kinda confused me, because what I wrote was the text right off(translated) the paper I was given =S

Said nothing about discriminants or roots
 
Re: Equation help

Yeah, Im pretty convinced that it shouldve said "only 1 root" instead of "only 1 solution", which is kinda worrying, since this is from an test-exampaper =/

I hope that, when Im going to the exam in two weeks, it will be more solidly formulated
 
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