document.write( "Question 1118618: Linda maintains the garden at her home. In the summer she plans to build a walkways through the garden. The area of the walkway, A, in square metres is given by A=90x+3x^2 where x is the width of the walkway in metres. If the area of the walkway must be 3000m^2 determine the width, explain.\r
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Algebra.Com's Answer #733985 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"90x%2B3x%5E2=3000\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2890%2B3x%29=3000\", width being x, and length being 3x+90\r
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\n" ); document.write( "\n" ); document.write( "\"x%2830%2Bx%29=1000\"------find maybe two wholenumber factors differing by 30?\r
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\n" ); document.write( "\n" ); document.write( "\"1000=100%2A10=4%2A25%2A10=4%2A25%2A2%2A5=40%2A25=20%2A50\"-------last two differ by 30;\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B30x-1000=0\"
\n" ); document.write( "\"%28x-20%29%28x%2B50%29=0\"
\n" ); document.write( "\"highlight%28x=20%29\"-------width
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\n" ); document.write( "Length, \"3x%2B90\"
\n" ); document.write( "\"3%2A20%2B90\"
\n" ); document.write( "\"highlight%28150%29\"---------length\r
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\n" ); document.write( "\n" ); document.write( "Otherwise general solution for quadratic equation:\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B30x-1000=0\"
\n" ); document.write( "\"x=%28-30%2Bsqrt%28900%2B4000%29%29%2F2\"
\n" ); document.write( "\"x=%28-30%2Bsqrt%284900%29%29%2F2\"
\n" ); document.write( "\"x=%28-30%2B70%29%2F2\"
\n" ); document.write( "\"x=40%2F2\"
\n" ); document.write( "\"x=20\"
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