document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451604>Question 451604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two consecutive numbers are squared and then added to gether to get the result of 113. What is the starting formula? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310538 by </B><A HREF=/tutors/aboutme.mpl?userid=pedjajov><B>pedjajov(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pedjajov><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=310538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two consecutive numbers are x and x+1 so if their sum is 113 it is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28x%2B1%29%5E2+=+113 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%2B1%29%5E2+=+113\"   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+%2B+x%5E2+%2B+2x+%2B+1+=+113 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x%5E2+%2B+2x+%2B+1+=+113\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+2x+-+112+=0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+2x+-+112+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solutions for x in this quadratic equation are given as\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A2%2A%28-112%29+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A2%2A%28-112%29+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It gives us x = 7 or x = -8\r<BR>\n" );
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document.write( "So numbers are 7 and 8, or -8 and -7.\r<BR>\n" );
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document.write( "Check1:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E2%2B8%5E2=+49+%2B+64+=+113 ALIGN=MIDDLE  ALT=\"7%5E2%2B8%5E2=+49+%2B+64+=+113\"   DISABLED_style= \"max-width:90%; height:auto;\" >, OK<BR>\n" );
document.write( "Check2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8%29%5E2+%2B+%28-7%29%5E2+=+64+%2B+49+=+113 ALIGN=MIDDLE  ALT=\"%28-8%29%5E2+%2B+%28-7%29%5E2+=+64+%2B+49+=+113\"   DISABLED_style= \"max-width:90%; height:auto;\" >, OK\r<BR>\n" );
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document.write( " </SPAN>\n" );
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