SOLUTION: Find the value/s of k so that the minimum value of f(x) = x^2 + kx + 3 is the same as the maximum value of g(x) = k + 4x

SOLUTION: Find the value/s of k so that the minimum value of f(x) = x^2 + kx + 3 is the same as the maximum value of g(x) = k + 4x - x2.

Question 1002046: Find the value/s of k so that the minimum value of f(x) = x^2 + kx + 3 is the same as the maximum value of g(x) = k + 4x - x2.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Vertices must be equal and this means that JUST FOR THE difference at this common vertex.

Still a quadratic equation with variables x and k. This equation will have ONE solution or zero, IF the discriminant is zero. The discriminant expression will involve k but NOT x.

Discriminant: ------Solve for k.
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