document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=261679>Question 261679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive integers is -4 more than the square of the smaller one. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192793 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=192793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the first integer and<BR>\n" );
document.write( "let y = the second integer\r<BR>\n" );
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document.write( "The numbers are consecutive, which gives us Eqn 1: y = x+1\r<BR>\n" );
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document.write( "Their product is -4 more than the square of the smaller one (x).\r<BR>\n" );
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document.write( "This gives us Eqn. 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy+-+4+=+x%5E2 ALIGN=MIDDLE  ALT=\"xy+-+4+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We will now insert y = x+1 from Eqn. 1 into Eqn. 2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy+-+4+=+x%5E2 ALIGN=MIDDLE  ALT=\"xy+-+4+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B1%29+-+4+=+x%5E2 ALIGN=MIDDLE  ALT=\"x%28x%2B1%29+-+4+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx+-+4+=+x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx+-+4+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Move everything to the left side and collect like terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+x%5E2+%2B+x+-+4+=+0+ ALIGN=MIDDLE  ALT=\"x%5E2+-+x%5E2+%2B+x+-+4+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+4+=+0+ ALIGN=MIDDLE  ALT=\"x+-+4+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4 ALIGN=MIDDLE  ALT=\"x+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Which means that y = 5.\r<BR>\n" );
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document.write( "The two numbers are 4 and 5. </SPAN>\n" );
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