document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421708>Question 421708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two consecutive integers is 19 less than their product. Find the integers. Can you please be detailed thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294435 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=294435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solution: Denote x the first integer and x+1 the consecutive integer.<BR>\n" );
document.write( "          Their sum is x+(x+1)=2x+1, while their product is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B1%29=+x%5E2%2Bx ALIGN=MIDDLE  ALT=\"x%28x%2B1%29=+x%5E2%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Base on the given data, we write the equation; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2Bx%29-%282x%2B1%29=19 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bx%29-%282x%2B1%29=19\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We solve this quadratic equation.\r<BR>\n" );
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document.write( "      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2%2Bx-2x-1-19=0+ ALIGN=MIDDLE  ALT=\"+x%5E2%2Bx-2x-1-19=0+\"   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%5E2-x-20=0+ ALIGN=MIDDLE  ALT=\"+x%5E2-x-20=0+\"   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=+%28x-5%29%28x%2B4%29=0+ ALIGN=MIDDLE  ALT=\"+%28x-5%29%28x%2B4%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "        {5, -4} are the roots of our equation. \r<BR>\n" );
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document.write( "Answer: Our problem have two solutions: The integers that satisfy the problem are:<BR>\n" );
document.write( "       a) 5 and 6, because 5X6-(5+6)=19.<BR>\n" );
document.write( "       b) -4 and -3, because, (-4)x(-3)-(-4-3)=12+7=19. </SPAN>\n" );
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