document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127004>Question 127004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find three consecutive integers such that 3 times the sqaure of the first exceeds the product of the other two by 25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93014 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First integer: x<BR>\n" );
document.write( "Second integer: x + 1<BR>\n" );
document.write( "Third integer: x + 2\r<BR>\n" );
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document.write( "3 times the square of the first:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2 ALIGN=MIDDLE  ALT=\"3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The product of the other two:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x%2B2%29=x%5E2%2B3x%2B2 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x%2B2%29=x%5E2%2B3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3 times the square of the first exceeds the product of the other two by 25:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2=%28x%5E2%2B3x%2B2%29%2B25 ALIGN=MIDDLE  ALT=\"3x%5E2=%28x%5E2%2B3x%2B2%29%2B25\"   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=3x%5E2-x%5E2-3x-27=0 ALIGN=MIDDLE  ALT=\"3x%5E2-x%5E2-3x-27=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=2x%5E2-3x-27 ALIGN=MIDDLE  ALT=\"2x%5E2-3x-27\"   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=%282x-9%29%28x%2B3%29=0 ALIGN=MIDDLE  ALT=\"%282x-9%29%28x%2B3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9%2F2 ALIGN=MIDDLE  ALT=\"x=9%2F2\"   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;\" >.  We can exclude the first root because it is not an integer.  So the first integer is -3, the second would be -2, and the third, -1.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28-3%29%5E2=27 ALIGN=MIDDLE  ALT=\"3%28-3%29%5E2=27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%28-2%29%2B25=27 ALIGN=MIDDLE  ALT=\"%28-1%29%28-2%29%2B25=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >, answer checks </SPAN>\n" );
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