document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #619077 by josgarithmetic(39617) $\"\"$ $\"About$

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Vertices must be equal and this means that $\"f%28x%29-g%28x%29=0\"$ JUST FOR THE difference at this common vertex.\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2Bkx%2B3-%28-x%5E2%2B4x%2Bk%29=0\"$
\n" ); document.write( " $\"x%5E2%2Bkx%2B3%2Bx%5E2-4x-k=0\"$
\n" ); document.write( " $\"2x%5E2%2Bkx-4x%2B3-k=0\"$
\n" ); document.write( " $\"highlight_green%282x%5E2%2B%28k-4%29x%2B%283-k%29=0%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "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.\r
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\n" ); document.write( "\n" ); document.write( "Discriminant: $\"%28k-4%29%5E2-4%2A2%2A%283-k%29=0\"$ ------Solve for k. \n" ); document.write( "

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