document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166360>Question 166360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the squares of six consecutive integers is 1111. what are the integers and what is the problem solving strategy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122614 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=122614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consecutive integers follow the pattern: x, x+1, x+2, x+3...\r<BR>\n" );
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document.write( "Since the \"sum of the squares of six consecutive integers is 1111\", this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%2B1%29%5E2%2B%28x%2B2%29%5E2%2B%28x%2B3%29%5E2%2B%28x%2B4%29%5E2%2B%28x%2B5%29%5E2=1111 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now FOIL the expressions to get\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%5E2%2B2x%2B1%29%2B%28x%5E2%2B4x%2B4%29%2B%28x%5E2%2B6x%2B9%29%2B%28x%5E2%2B8x%2B16%29%2B%28x%5E2%2B10x%2B25%29=1111 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and combine like terms to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2%2B30x%2B55=1111 ALIGN=MIDDLE  ALT=\"6x%5E2%2B30x%2B55=1111\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'll let you solve the equation.\r<BR>\n" );
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