document.write( "Question 174257: 1. the sum of the square of rwo consecutive integers is forty one. find the two integers.\r
\n" ); document.write( "\n" ); document.write( "2. the length of a rectangle is 3 in. more than twice its width. its area is 152in^2. find the width of the rectangle\r
\n" ); document.write( "\n" ); document.write( "3. find the x-and y- intercepts for 6x-4y=12.
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Algebra.Com's Answer #129208 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Call the 1st integer \"n\"
\n" ); document.write( "The next consecutive integer will be \"n%2B1\"
\n" ); document.write( "\"n%5E2+%2B+%28n+%2B+1%29%5E2+=+41\"
\n" ); document.write( "\"n%5E2+%2B+n%5E2+%2B+2n+%2B+1+=+41\"
\n" ); document.write( "\"2n%5E2+%2B+2n+-+40+=+0\"
\n" ); document.write( "\"n%5E2+%2B+n+-+20+=+0\"
\n" ); document.write( "Use complete the square method
\n" ); document.write( "\"n%5E2+%2B+n+=+20\"
\n" ); document.write( "\"n%5E2+%2B+n+%2B+%281%2F2%29%5E2+=+20+%2B+%281%2F2%29%5E2\"
\n" ); document.write( "\"%28n+%2B+%281%2F2%29%29%5E2+=+%2880+%2B+1%29%2F4\"
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( "\"n+%2B+1%2F2+=+9%2F2\"
\n" ); document.write( "\"n+=+8%2F2\"
\n" ); document.write( "\"n+=+4\"
\n" ); document.write( "\"n+%2B+1+=+5\"
\n" ); document.write( "The numbers are 4 and 5
\n" ); document.write( "check answer:
\n" ); document.write( "\"n%5E2+%2B+%28n+%2B+1%29%5E2+=+41\"
\n" ); document.write( "\"4%5E2+%2B+5%5E2+=+41\"
\n" ); document.write( "\"16+%2B+25+=+41\"
\n" ); document.write( "\"41+=+41\"
\n" ); document.write( "OK
\n" ); document.write( "---------
\n" ); document.write( "Let \"w\" = width
\n" ); document.write( "Let \"l\" =length
\n" ); document.write( "Let \"A\" =area
\n" ); document.write( "given:
\n" ); document.write( "\"l+=+w+%2B+3\"
\n" ); document.write( "\"A+=+l%2Aw\"
\n" ); document.write( "\"A+=+152\"in2
\n" ); document.write( "\"152+=+l%2Aw\"
\n" ); document.write( "\"152+=+%28w%2B3%29%2Aw\"
\n" ); document.write( "\"w%5E2+%2B+3w+-+152+=+0\"
\n" ); document.write( "Use complete the square
\n" ); document.write( "\"w%5E2+%2B+3w+=+152\"
\n" ); document.write( "\"w%5E2+%2B+3w+%2B+%283%2F2%29%5E2+=+152+%2B+%283%2F2%29%5E2\"
\n" ); document.write( "\"%28w+%2B+3%2F2%29%5E2+=+%28608+%2B+9%29%2F4\"
\n" ); document.write( "\"%28w+%2B+3%2F2%29%5E2+=+617%2F4\"
\n" ); document.write( "\"w+%2B+3%2F2+=+sqrt%28617%29%2F2\"
\n" ); document.write( "\"w+=+%28sqrt%28617%29+-+3%29%2F2\"
\n" ); document.write( "
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