document.write( "Question 85444: 1. Find two consecutive integers such that the sum of there square is 85.\r
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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? \n" );
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Algebra.Com's Answer #61651 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! 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( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |