Hello all,

I have a question, "What is the least value of c if 2x^{2 }- 12x + c is never negative?"

I'm guessing that means c must be found when 2x^{2}- 12x + c = 0, but I'm not sure what kind of answer I'm supposed to get.

thanks

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- May 4th 2013, 07:23 PM #1

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- May 4th 2013, 09:15 PM #2

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## Re: Help please

I think we can reason it out like this. We want

2x^2 - 12 x + c >=0

2x(x - 6 ) >= - c

That is it. For all those values of c for which the above inequality holds the function will never be negative.

we can't get definite value because we have one inequality and two variables.