document.write( "Question 909293: So theres a line
\n" ); document.write( "A------------M-------------B
\n" ); document.write( "and M is the midpoint
\n" ); document.write( "AM is x^2-6
\n" ); document.write( "BM is x
\n" ); document.write( "what is AB?
\n" ); document.write( "Please write out all the steps, thank you. \n" ); document.write( "

Algebra.Com's Answer #551788 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
A------------M-------------B\r
\n" ); document.write( "\n" ); document.write( " $\"M\"$ is the midpoint => $\"AM=BM\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"AM+=x%5E2-6\"$
\n" ); document.write( "and $\"BM+=x\"$ \r
\n" ); document.write( "\n" ); document.write( "then $\"x%5E2-6=x\"$ ...solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2-x-6=0\"$ ...write $\"-x\"$ as $\"2x-3x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+x%5E2%2B2x-3x-6+=+0+\"$ ...group \r
\n" ); document.write( "\n" ); document.write( " $\"+%28x%5E2%2B2x%29-%283x%2B6%29+=+0+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+x%28x%2B2%29-3%28x%2B2%29+=+0+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+%28x-3%29%28x%2B2%29+=+0+\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions\r
\n" ); document.write( "\n" ); document.write( "if $\"+x-3=+0+\"$ => $\"x=3\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"+x%2B2=+0+\"$ => $\"x=-2\"$ since $\"AB\"$ is a line and we need the length, we will use only positive solution $\"x=3\"$ \r
\n" ); document.write( "\n" ); document.write( "now find $\"AM+=x%5E2-6\"$ and $\"BM+=x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"BM+=x\"$ => $\"BM+=3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"AM+=3%5E2-6\"$ => $\"AM+=3\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "then $\"AB=AM%2BBM=3%2B3=6\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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