document.write( "Question 1088756: For what constant k is 1 the minimum value of the quadratic 3x^2 - 15x + k over all real values of x? (x cannot be nonreal.)
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Algebra.Com's Answer #703075 by Boreal(15235) $\"\"$ $\"About$

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The vertex is at the minimum for a quadratic where the coefficient of the square term is positive.
\n" ); document.write( "-b/2a=15/6=2.5
\n" ); document.write( "when x=2.5, y must be 1 in this problem.
\n" ); document.write( "substitute
\n" ); document.write( "1=3(2.5^2)-15(2.5)+k
\n" ); document.write( "1=18.75-37.5+k
\n" ); document.write( "19.75=k ANSWER
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