document.write( "Question 85444: 1. Find two consecutive integers such that the sum of there square is 85.\r
\n" ); document.write( "\n" ); document.write( "2. A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area id 400ft ^2, what is the width of the path?
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Algebra.Com's Answer #61651 by venugopalramana(3286)\"\" \"About 
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1. Find two consecutive integers such that the sum of there square is 85.
\n" ); document.write( "N^2+(N+1)^2=85
\n" ); document.write( "N^2+N^2+2N+1=85
\n" ); document.write( "2N^2+2N-84=0
\n" ); document.write( "N^2+N-42=0
\n" ); document.write( "N^2+7N-6N-42=0
\n" ); document.write( "N(N+7)-6(N+7)=0
\n" ); document.write( "(N-6)(N+7)=0
\n" ); document.write( "HENCE N=6 OR -7
\n" ); document.write( "THE 2 INTEGERS ARE 6&7
\n" ); document.write( "OR -7 AND -6\r
\n" ); document.write( "\n" ); document.write( "2. A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area id 400ft ^2, what is the width of the path?\r
\n" ); document.write( "\n" ); document.write( "GARDEN AREA =400 SQ.FT.
\n" ); document.write( "IF THE WIDTH OF PATH IS X FEET , THEN
\n" ); document.write( "LENGTH OF GARDEN = 30-X-X=30-2X
\n" ); document.write( "WIDTH OF GARDEN =20-X-X=20-2X
\n" ); document.write( "AREA OF GARDEN =(30-2X)(20-2X)=400
\n" ); document.write( "600-60X-40X+4X^2=400
\n" ); document.write( "4X^2-100X+200=0
\n" ); document.write( "X^2-25X+50=0\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%2825+%2B-+sqrt%28+25%5E2-4%2A1%2A50+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"x+=+%2825%2B-+sqrt%28+425+%29%29%2F%282%29+\"=2.2 FT\r
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