document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908512>Question 908512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given numbers a and b, define a©b=a+ab+b. For example, 2©3=2+2(3)+3=11.<BR>\n" );
document.write( "1.) What number is the identity of ©? That is, what is the number I such that x©I=x for all values of x.<BR>\n" );
document.write( "2.) What number is the inverse of 1 with respect to ©? That is, what number a satisfies a©1=I, where I is the number that you found in question number 1? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551081 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=551081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your copyrite symbol will not render, so I must use here something else.  I will use pure text without the rendering tags...\r<BR>\n" );
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document.write( "The identity element,<BR>\n" );
document.write( "x©I=x+xI+I<BR>\n" );
document.write( "and you want <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2BxI%2BI=x ALIGN=MIDDLE  ALT=\"x%2BxI%2BI=x\"   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=x%2BxI%2BI-x=0 ALIGN=MIDDLE  ALT=\"x%2BxI%2BI-x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-x%2BxI%2BI=0 ALIGN=MIDDLE  ALT=\"x-x%2BxI%2BI=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xI%2BI=0 ALIGN=MIDDLE  ALT=\"xI%2BI=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"I%28x%2B1%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=I=0%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"I=0%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28I=0%29 ALIGN=MIDDLE  ALT=\"highlight%28I=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----the identity element for your operation\r<BR>\n" );
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document.write( "Checking to see if the operation is or is not commutative might be something worth doing.\r<BR>\n" );
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document.write( "Question Number 2:\r<BR>\n" );
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document.write( "You seem to want to find the number a such that a©1=I, having just found that I=-1; so you want to know a such that a©1=-1.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ba1%2B1=-1 ALIGN=MIDDLE  ALT=\"a%2Ba1%2B1=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ba%2B1=-1 ALIGN=MIDDLE  ALT=\"a%2Ba%2B1=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2B1=-1 ALIGN=MIDDLE  ALT=\"2a%2B1=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a=-1-1 ALIGN=MIDDLE  ALT=\"2a=-1-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-1 ALIGN=MIDDLE  ALT=\"a=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(This somehow seems strange) </SPAN>\n" );
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