document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117950>Question 117950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two integers, x and x + 1, whose squares differ 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 #85980 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=85980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If their squares differ by 25, then we have the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%5E2-x%5E2=25 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%5E2-x%5E2=25\"   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=%28x%2B1%29%5E2-x%5E2=25 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%5E2-x%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%2B1-x%5E2=25 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%2B1-x%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Foil\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1=25 ALIGN=MIDDLE  ALT=\"2x%2B1=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=25-1 ALIGN=MIDDLE  ALT=\"2x=25-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 1 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=24 ALIGN=MIDDLE  ALT=\"2x=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2824%29%2F%282%29 ALIGN=MIDDLE  ALT=\"x=%2824%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2 to isolate x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=12 ALIGN=MIDDLE  ALT=\"x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=12 ALIGN=MIDDLE  ALT=\"x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now add 1 to 12 to get the next number. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=12%2B1=13 ALIGN=MIDDLE  ALT=\"x%2B1=12%2B1=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means our two numbers are 12 and 13\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%5E2-x%5E2=25 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%5E2-x%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%5E2-12%5E2=25 ALIGN=MIDDLE  ALT=\"13%5E2-12%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in the solution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=169-144=25 ALIGN=MIDDLE  ALT=\"169-144=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square each term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25=25 ALIGN=MIDDLE  ALT=\"25=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract.  Since the two sides of the equation are equal, this verifies our answer. </SPAN>\n" );
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