SOLUTION: Explain why 3x^2+kx-1 is never {{{cross(positive)}}} {{{cross(definite)}}} <U>POSITIVELY DEFINED</U> for any value of k.
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Question 1185909: Explain why 3x^2+kx-1 is never POSITIVELY DEFINED for any value of k.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
Consider the value of the given function at x= 0: it is -1, which is not positive.
It is true for any value of " k ", and it shows and proves that the given function
is never positively defined for any value of " k ".
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Proved and explained.
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