document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697467>Question 697467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two integers which differ by 8 such that their product is-15. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430059 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two integers differ by 8: x-y = 8\r<BR>\n" );
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document.write( "solve for y:  y = x-8\r<BR>\n" );
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document.write( "their product is -15:  xy = -15\r<BR>\n" );
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document.write( "plug in y = x-8:   x(x-8) = -15\r<BR>\n" );
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document.write( "Now solve for x\r<BR>\n" );
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document.write( "x(x-8) = -15\r<BR>\n" );
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document.write( "x^2 - 8x = -15\r<BR>\n" );
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document.write( "x^2 - 8x + 15 = 0\r<BR>\n" );
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document.write( "Use the quadratic formula to solve for x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-8%29%2B-sqrt%28%28-8%29%5E2-4%281%29%2815%29%29%29%2F%282%281%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-8%29%2B-sqrt%28%28-8%29%5E2-4%281%29%2815%29%29%29%2F%282%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-8 ALIGN=MIDDLE  ALT=\"b+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+15 ALIGN=MIDDLE  ALT=\"c+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288%2B-sqrt%2864-%2860%29%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x+=+%288%2B-sqrt%2864-%2860%29%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288%2B-sqrt%284%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%288%2B-sqrt%284%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288%2Bsqrt%284%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%288%2Bsqrt%284%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288-sqrt%284%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%288-sqrt%284%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288%2B2%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%288%2B2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288-2%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%288-2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10%2F2 ALIGN=MIDDLE  ALT=\"x+=+10%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6%2F2 ALIGN=MIDDLE  ALT=\"x+=+6%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5 ALIGN=MIDDLE  ALT=\"x+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now that you know x = 5, you can use this to find that y = -3\r<BR>\n" );
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document.write( "Or if x = 3, then you can find out that y = -5. Both of these y values are found when you plug in the corresponding x value into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x+-+8 ALIGN=MIDDLE  ALT=\"y+=+x+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you solve for y.\r<BR>\n" );
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document.write( "So the two numbers are 5 and -3. Also, another pair of numbers is 3 and -5 </SPAN>\n" );
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