document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67542>Question 67542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two consecutive positive integers such that the sum of their squares is 85. [You must use algebra to solve this, setting up an equation with a variable, and using algebra to solve for the variable.]\r<BR>\n" );
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document.write( "This one has me so confused. I need help, please???? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48056 by </B><A HREF=/tutors/aboutme.mpl?userid=303795><B>303795(602)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=303795><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=48056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the first number is x then the consecutive number will be x+1.\r<BR>\n" );
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document.write( "The squares of these two numbers add to 85 so<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+%2B+x%5E2+%2B+2x+%2B1=85 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x%5E2+%2B+2x+%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++%2B+2x+%2B+1+=+85 ALIGN=MIDDLE  ALT=\"2x%5E2++%2B+2x+%2B+1+=+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++%2B+2x+-+84+=0 ALIGN=MIDDLE  ALT=\"2x%5E2++%2B+2x+-+84+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide each side of the equation by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2++%2B+x+-+42+=0 ALIGN=MIDDLE  ALT=\"x%5E2++%2B+x+-+42+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "factorise<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B7%29%28x-6%29+=0 ALIGN=MIDDLE  ALT=\"%28x%2B7%29%28x-6%29+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So x=-7 or x=6<BR>\n" );
document.write( "The problem states that the numbers are positive so x=6.<BR>\n" );
document.write( "The consecutive numbers are therefore 6 and 7 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E2%2B7%5E2=36%2B49=85 ALIGN=MIDDLE  ALT=\"6%5E2%2B7%5E2=36%2B49=85\"   DISABLED_style= \"max-width:90%; height:auto;\" >) </SPAN>\n" );
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