document.write( "Question 198164: A Jewelery Box has a lenght that is 2 inches longer than the width and a height that is 1 inch smaller than the width. It has a volume of 140 cubic inches. What is the width?\r
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\n" ); document.write( "\n" ); document.write( "Thank you very much
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Algebra.Com's Answer #148629 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"w\"= the width in inches
\n" ); document.write( "\"w+%2B+2\"= the length
\n" ); document.write( "\"w+-+1\"= the height
\n" ); document.write( "Volume = length x width x height
\n" ); document.write( "\"w%2A%28w+%2B+2%29%2A%28w+-+1%29+=+140\" in3
\n" ); document.write( "\"w%5E2+%2B+2w%29%2A%28w+-+1%29+=+140\" in3
\n" ); document.write( "\"w%5E3+%2B+2w%5E2+-+w%5E2+-+2w+=+140\"
\n" ); document.write( "\"w%5E3+%2B+w%5E2+-+2w+=+140\"
\n" ); document.write( "factor out \"w\"
\n" ); document.write( "\"w%2A%28w%5E2+%2B+w+-+2%29+=+140\"
\n" ); document.write( "Factoring again:
\n" ); document.write( "\"w%2A%28w+%2B+2%29%28w+-+1%29+=+140\"
\n" ); document.write( "I'll say \"y+=+w%2A%28w+%2B+2%29%28w+-+1%29\"
\n" ); document.write( "I'll plot it and see where \"y+=+140\" is
\n" ); document.write( "\"+graph%28+400%2C+400%2C+-5%2C+5%2C+-5%2C+50%2C+x%5E3+%2B+x%5E2+-+2x%29+\"
\n" ); document.write( "It looks like \"w\" is going to be about \"4\"
\n" ); document.write( "\"y%284%29+=+4%2A%284+%2B+2%29%2A%284+-+1%29\"
\n" ); document.write( "\"y%284%29+=+4%2A6%2A3\"
\n" ); document.write( "\"y%284%29+=+72\"
\n" ); document.write( "I'll try \"5\"
\n" ); document.write( "\"y%285%29+=+5%2A7%2A4\"
\n" ); document.write( "\"y%285%29+=+140\" bingo
\n" ); document.write( "The width is 5 inches
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