document.write( "Question 235566: A pear farm contains 126 trees. The number of trees per row is five more than the number of rows. Find the number of rows. \n" ); document.write( "
Algebra.Com's Answer #173472 by Stitch(470)\"\" \"About 
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Setup:
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\n" ); document.write( "A = Number of Rows
\n" ); document.write( "B = Number of Trees per row
\n" ); document.write( "Equation 1: \"A%2AB+=+126\"
\n" ); document.write( "Equation 2: \"A+=+B+-+5\"
\n" ); document.write( "Solution:
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\n" ); document.write( "Plug (B-5) into Equation 1 for A
\n" ); document.write( "\"A%2AB+=+126\"
\n" ); document.write( "\"%28B-5%29%2AB+=+126\" Rewrite the equation
\n" ); document.write( "\"B%5E2-5B+=+126\" Set the equation to 0 by subtract 126 from both sides
\n" ); document.write( "\"B%5E2-5B+-126+=+0\"
\n" ); document.write( "Find the factors of 126
\n" ); document.write( "The factors are: 1, 2, 3, 6, 7, 9, 14, 18 21, 42,63,126
\n" ); document.write( "Notice that 9 and 14 are the factors that are 5 apart and we have a -5B
\n" ); document.write( "So the equation can be foiled
\n" ); document.write( "\"B%5E2-5B+-126+=+0\"
\n" ); document.write( "\"B%5E2-5B+-126+=+0+=+%28B%2B9%29%2A%28B-14%29\"
\n" ); document.write( "Looking at \"%28B%2B9%29%2A%28B-14%29+=+0\" we see two solutions
\n" ); document.write( "\"B+%2B+9+=+0\" rewritten as \"B+=+-9\"
\n" ); document.write( "& \"B+-+14+=+0\" rewritten as \"B+=+14\"
\n" ); document.write( "Since we can not have a negative number of trees, we will use B = 14\r
\n" ); document.write( "\n" ); document.write( "Now plug 14 into equation 2 for B
\n" ); document.write( "Equation 2: \"A+=+B+-+5\"
\n" ); document.write( "\"A+=+14+-+5\"
\n" ); document.write( "\"A+=+9\"\r
\n" ); document.write( "\n" ); document.write( "Check your answer:
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\n" ); document.write( "Using A = 9 & B = 14 Solve equation 1
\n" ); document.write( "Equation 1: \"A%2AB+=+126\"
\n" ); document.write( "\"14+%2A+9+=+126\"
\n" ); document.write( "\"126+=+126\"\r
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