document.write( "Question 1162434: . Let f(x) = 2x^2 + nx - 6 and g(x) = mx^2 + 2x - 4. The functions are combined to form the new functions h(x) = f(x) - g(x). Points (2, 4) and (-3, 17) satisfy the new function. Determine the values of m and n. \n" ); document.write( "
Algebra.Com's Answer #786244 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "\"h%28x%29+=+%282-m%29x%5E2%2B%28n-2%29x-2\"

\n" ); document.write( "Substitute the coordinates of the known points to get two equations in m and n.

\n" ); document.write( "\"h%282%29+=+4+=+%282-m%29%284%29%2B%28n-2%29%282%29-2\"
\n" ); document.write( "\"h%28-3%29+=+17+=+%282-m%29%289%29%2B%28n-2%29%28-3%29-2\"

\n" ); document.write( "Simplify the two linear equations in m and n and solve by your favorite method....

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