document.write( "Question 1025085: Write a word problem involving finding two real numbers that could be solved with the equation x(9-x)=14.
\n" ); document.write( "Then Determine what the axis of symmetry and the maximum or minimum point of the graph of the
\n" ); document.write( "equation would be without graphing the equation. Solve by graphing and then solve in 2 other ways. Thanks! \n" ); document.write( "

Algebra.Com's Answer #640386 by Fombitz(32388) $\"\"$ $\"About$

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A student went online and asked help for solving the equation $\"x%289-x%29=14\"$ .
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\n" ); document.write( " $\"9x-x%5E2=14\"$
\n" ); document.write( " $\"x%5E2-9x%2B14=0\"$
\n" ); document.write( " $\"x%5E2-9x%2B%289%2F2%29%5E2%2B14=%289%2F2%29%5E2\"$
\n" ); document.write( " $\"%28x-9%2F2%29%5E2=81%2F4-56%2F4\"$
\n" ); document.write( " $\"%28x-9%2F2%29%5E2=+25%2F4\"$
\n" ); document.write( "Vertex is ( $\"9%2F2\"$ , $\"25%2F4\"$ ).
\n" ); document.write( "The axis of symmetry is $\"x=9%2F2\"$ .
\n" ); document.write( "It's a minimum since the quadratic coefficient $\"1%3E0\"$ .
\n" ); document.write( "Completing the square,
\n" ); document.write( " $\"x-9%2F2=0+%2B-+%285%2F2%29\"$
\n" ); document.write( " $\"x=9%2F2+%2B-+%285%2F2%29\"$
\n" ); document.write( " $\"x=14%2F2=7\"$ and $\"x=4%2F2=2\"$
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\n" ); document.write( "You can also solve with the quadratic equation using $\"a=1\"$ , $\"b=-9\"$ , $\"c=14\"$
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "I'll leave that for you.
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