document.write( "Question 1056543: Pls help me to solve this using word problem leading to quadratic equation. This is the question,A girl is 6years younger than her brother.the product of their ages is 135.find their ages \n" ); document.write( "
Algebra.Com's Answer #671643 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+x+\" = her brother's age
\n" ); document.write( "\"+x+-+6+\" = the girl's age
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\n" ); document.write( "\"+x%2A%28+x+-+6+%29+=+135+\"
\n" ); document.write( "\"+x%5E2+-+6x+=+135+\"
\n" ); document.write( "I will solve by completing the square
\n" ); document.write( "\"+x%5E2+-+6x+%2B+%28-6%2F2%29%5E2+=+135+%2B+%28-6%2F2%29%5E2+\"
\n" ); document.write( "\"+x%5E2+-+6x+%2B+9+=+135+%2B+9+\"
\n" ); document.write( "\"+%28+x+-+3+%29%5E2+=+144+\"
\n" ); document.write( "\"+%28+x+-+3+%29%5E2+=+12%5E2+\"
\n" ); document.write( "\"+x+-+3+=+12+\"
\n" ); document.write( "\"+x+=+15+\"
\n" ); document.write( "There is another root you get by taking the
\n" ); document.write( "negative square root of \"+12%5E2+=+-12+\",
\n" ); document.write( "but ages can't be negative
\n" ); document.write( "also:
\n" ); document.write( "\"+x+-+6+=+9+\"
\n" ); document.write( "---------------------
\n" ); document.write( "The brother is 15
\n" ); document.write( "The girl is 9
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+x%2A%28+x+-+6+%29+=+135+\"
\n" ); document.write( "\"+15%2A9+=+135+\"
\n" ); document.write( "\"+135+=+135+\"
\n" ); document.write( "OK
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