document.write( "Question 946692: Find the number whose square is 24 more than five times the number.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #577553 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
if the number $\"x\"$ whose square $\"x%5E2\"$ is $\"24\"$ more than five times the number $\"5x\"$ , then we have\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2=5x%2B24\"$ ...solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2-5x-24=0\"$ ...factor completely\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B3x-8x-24=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2%2B3x%29-%288x%2B24%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%28x%2B3%29-8%28x%2B3%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-8%29%28x%2B3%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if $\"%28x-8%29+=+0\"$ => $\"highlight%28x=8%29\"$
\n" ); document.write( "if $\"%28x%2B3%29+=+0\"$ => $\"highlight%28x=-3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "so, $\"highlight%28x=8%29\"$ and $\"highlight%28x=-3%29\"$ are your numbers\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );