document.write( "Question 1143690: Three times the square of a certain positive number exceeds six times the number by nine. Find the
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Algebra.Com's Answer #764567 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( " $\"3x%5E2+=+6x%2B9\"$

\n" ); document.write( "It's a quadratic equation; set one side equal to zero and factor if possible.

\n" ); document.write( " $\"3x%5E2-6x-9+=+0\"$
\n" ); document.write( " $\"x%5E2-2x-3+=+0\"$
\n" ); document.write( " $\"%28x-3%29%28x%2B1%29+=+0\"$

\n" ); document.write( " $\"x=3\"$ or $\"x=-1\"$

\n" ); document.write( "The problem specifies a positive solution, so x=3.

\n" ); document.write( "CHECK:
\n" ); document.write( "3x^2 = 3(3^2) = 3*9 = 27
\n" ); document.write( "6x+9 = 6(3)+9 = 18+9 = 27 \n" ); document.write( "

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