document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54056>Question 54056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Sir<BR>\n" );
document.write( "As a 72 year old, interested in numbers and algebra, but with very limited knowledge on the subject, I have been trying to algebraically solve the following problems, rather than by trial and error or a process of elimination.\r<BR>\n" );
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document.write( "abc=a+b+c,       1x2x3=1+2+3=6\r<BR>\n" );
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document.write( "abc=(a+b+c)²      8x16x72=(8+16+72)²  9216=96²\r<BR>\n" );
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document.write( "abcd=(a+b+c+d)²  2x4x6x12=(2+4+6+12)²   576=24² </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36305 by </B><A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><B>aaaaaaaa(138)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aaaaaaaa><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=36305\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abc+=+a%2Bb%2Bc ALIGN=MIDDLE  ALT=\"abc+=+a%2Bb%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abc+-+c+=+a%2Bb ALIGN=MIDDLE  ALT=\"abc+-+c+=+a%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%28ab+-+1%29+=+a%2Bb ALIGN=MIDDLE  ALT=\"c%28ab+-+1%29+=+a%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+%28a%2Bb%29%2F%28ab+-+1%29 ALIGN=MIDDLE  ALT=\"c+=+%28a%2Bb%29%2F%28ab+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I will choose values for a and b arbitrarily. Suppose a = 6 and b = 2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+8%2F11 ALIGN=MIDDLE  ALT=\"c+=+8%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B2%2B8%2F11+=+6%2A2%2A8%2F11 ALIGN=MIDDLE  ALT=\"6%2B2%2B8%2F11+=+6%2A2%2A8%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, we can choose any value for two of the values, and find a value for which this equation is true.\r<BR>\n" );
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document.write( "Similarly with all the other equations, as long as you don't restrict them to the naturals, and algebra isn't capable of that. </SPAN>\n" );
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