document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65708>Question 65708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive positive intergers such that the sum of their square is 85\r<BR>\n" );
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document.write( "This problem has confused me by adding in square, how do I go about solving this type of problem?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46398 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=46398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive positive intergers such that the sum of their square is 85\r<BR>\n" );
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document.write( "Let the first integer be: x<BR>\n" );
document.write( "Then the next consecutive integer is: x+1<BR>\n" );
document.write( "Sum means add.<BR>\n" );
document.write( "Square means raise to the second power<BR>\n" );
document.write( "is means =.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%2B1%29%5E2=85 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%2B1%29%5E2=85\"   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%5E2%2B2x%2B1=85 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2%2B2x%2B1=85\"   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%2B2x%2B1=85 ALIGN=MIDDLE  ALT=\"2x%5E2%2B2x%2B1=85\"   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%2B2x%2B1-85=85-85 ALIGN=MIDDLE  ALT=\"2x%5E2%2B2x%2B1-85=85-85\"   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%2B2x-84=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B2x-84=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2%2Bx-42%29=0 ALIGN=MIDDLE  ALT=\"2%28x%5E2%2Bx-42%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2%2Bx-42%29%2F2=0%2F2 ALIGN=MIDDLE  ALT=\"2%28x%5E2%2Bx-42%29%2F2=0%2F2\"   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-42=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-42=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x+7)(x-6)=0<BR>\n" );
document.write( "x+7=0 or x-6=0<BR>\n" );
document.write( "x+7-7=0-7 or x-6+6=0+6<BR>\n" );
document.write( "x=-7 or x=6<BR>\n" );
document.write( "Since you were asked for two consecutive POSITIVE integers<BR>\n" );
document.write( "The first integer is: x=6<BR>\n" );
document.write( "and the second is: x+1=6+1=7<BR>\n" );
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document.write( "Sanity check:<BR>\n" );
document.write( "are 6 and 7 consecutive integers? Yes!<BR>\n" );
document.write( "Do the sum of their squares=85?<BR>\n" );
document.write( "6^2+7^2=85<BR>\n" );
document.write( "36+49=85<BR>\n" );
document.write( "85=85 Yes!<BR>\n" );
document.write( "It appears that we're sane...for now.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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