document.write( "Question 177383: Please help. If the sides of a square are lengthened by 8cm, the area becomes 169cm^2. Find the length of the original square.
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Algebra.Com's Answer #132426 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Let s = the length of the side of the original square.
\n" ); document.write( "If you increase this by 8 cm (s+8) and square it ((s+8)*(s+8)) you get 169 sq.cm. So you can write:
\n" ); document.write( "\"%28s%2B8%29%5E2+=+169\" Square the left side.
\n" ); document.write( "\"s%5E2%2B16s%2B64+=+169\" Subtract 169 from both sides.
\n" ); document.write( "\"s%5E2%2B16s-105+=+0\" Factor this quadratic equation.
\n" ); document.write( "\"%28s-5%29%28s%2B21%29+=+0\" Apply the zero product rule:
\n" ); document.write( "\"s-5+=+0\" or \"s%2B2+=+0\" which means that...
\n" ); document.write( "\"s+=+5\" or \"s+=+-21\" Discard the negative solution as the length of the sides can only be positive.
\n" ); document.write( "\"highlight%28s+=+5%29\"cm This is the length of the side of the original square.
\n" ); document.write( "Check:
\n" ); document.write( "\"%28s%2B8%29%5E2+=+169\"
\n" ); document.write( "\"5%2B8%29%5E2+=+169\"
\n" ); document.write( "\"13%5E2+=+169\"
\n" ); document.write( "\"169+=+169\" OK!
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