document.write( "Question 898081: The length and the width of a rectangular floor a m and b m. Solve for a and b, given the following
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\n" ); document.write( "• If the length and the width each increases with 1 m, the area will increase with 9 m^2.
\n" ); document.write( "• If the length decreases with 0.5 m and the width increases with 4 m, the area is doubled.
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Algebra.Com's Answer #544525 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"A=ab\" for original area.\r
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\n" ); document.write( "\n" ); document.write( "First Part:
\n" ); document.write( "\"%28a%2B1%29%28b%2B1%29=%28A%2B9%29\"
\n" ); document.write( "\"%28a%2B1%29%28b%2B1%29=ab%2B9\"
\n" ); document.write( "\"ab%2Ba%2Bb%2Bb%5E2=ab%2B9\"
\n" ); document.write( "\"a%2Bb%2Bb%5E2=9\"\r
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\n" ); document.write( "\n" ); document.write( "Second Part:
\n" ); document.write( "\"%28a-0.5%29%28b%2B4%29=2A\"
\n" ); document.write( "\"%28a-1%2F2%29%28b%2B4%29=2ab\"
\n" ); document.write( "\"ab-b%2F2%2B4a-2=2ab\"
\n" ); document.write( "\"-b%2F2%2B4a-2=ab\"
\n" ); document.write( "\"4a-b%2F2-2=ab\"
\n" ); document.write( "\"8a-b-4=2ab\"----- can this be solved for a in terms of b?
\n" ); document.write( "\"8a-b-4-2ab=0\"
\n" ); document.write( "\"8a-2ab=b%2B4\"
\n" ); document.write( "\"a%288-2b%29=4\"
\n" ); document.write( "\"a=4%2F%288-2b%29\"\r
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\n" ); document.write( "\n" ); document.write( "Using First Part, solve that one for a.
\n" ); document.write( "\"a=9-b-b%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Equate the formulas for a.
\n" ); document.write( "\"4%2F%288-2b%29=9-b-b%5E2\"
\n" ); document.write( "\"4=%288-2b%29%289-b-b%5E2%29\"
\n" ); document.write( "\"4=72-8b-8b%5E2-18b%2B2b%5E2%2B2b%5E3\"
\n" ); document.write( "\"2b%5E3-6b%5E2-26b%2B68=0\"
\n" ); document.write( "\"highlight_green%28b%5E3-3b%5E2-13b%2B34=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "From that, try rational roots theorem testing for roots of 1, 2, 17; and I doubt that 34 would be any use.\r
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\n" ); document.write( "\n" ); document.write( "(Intentionally unfinished)
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