document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119464>Question 1119464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find two numbers whose difference is 3 and whose product is 88<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735017 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=735017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the larger number\r<BR>\n" );
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document.write( "Then  (x)(x-3) = 88<BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+3x+-+88+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+3x+-+88+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-11%29%28x%2B8%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28x-11%29%28x%2B8%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x=11 and/or x=-8  <br>\r<BR>\n" );
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document.write( "x=11 —> x-3=8,  11*8 = 88…  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28matrix%281%2C4%2C%2211+%22%2C+%22+and+%22%2C+%228%22%2C%22+%22%29%29+ ALIGN=MIDDLE  ALT=\"+highlight%28matrix%281%2C4%2C%2211+%22%2C+%22+and+%22%2C+%228%22%2C%22+%22%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution<br>\r<BR>\n" );
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document.write( "x=-8 —> x-3 = -11, -8*-11=88 …  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28matrix%281%2C4%2C%22-8+%22%2C+%22+and+%22%2C+%22-11%22%2C%22+%22%29%29+ ALIGN=MIDDLE  ALT=\"highlight%28matrix%281%2C4%2C%22-8+%22%2C+%22+and+%22%2C+%22-11%22%2C%22+%22%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution<br> \r<BR>\n" );
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document.write( "Tutor @Alan3354 must have misspoken, as a quadratic equation most certainly may have integer solutions.  <BR>\n" );
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document.write( "No.\r<BR>\n" );
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document.write( "I said if the 2 solutions are NOT integers, then solving a quadratic is necessary.<BR>\n" );
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document.write( "If they are integers, forming a quadratic and then factoring it just adds unneeded lines IF the solutions are integers.<BR>\n" );
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document.write( "PS  I intended to edit my answer, but for some reason I'm editing someone else's ???\r<BR>\n" );
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document.write( "To Alan5534 - Yeah, weird, it allowed you to edit my post.   Anyway, I get what you are saying now.  However, I do think forming the quadratic and then solving is a straightforward method that works every time (at least when there is a real answer),  while the guessing at factors may or may not work, depending on the solution.   Thanks.  \r<BR>\n" );
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