document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1003745>Question 1003745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If (-2,0) and (2,0) are two vertices of an equilateral TRIANGLE, find the possible location of the 3rd vertex<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620405 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</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=620405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Unknown point (x,y),\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B2%29%5E2%2By%5E2%29=4 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B2%29%5E2%2By%5E2%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-2%29%5E2%2By%5E2%29=4 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-2%29%5E2%2By%5E2%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Can you work with those two equations, and find the common points, their intersection  (either or both of them)?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Start with the first equation, and solve y^2 in terms of ....<BR>\n" );
document.write( "find that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=16-%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"y%5E2=16-%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Substitute this into the other equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2By%5E2=16 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2By%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2B%2816-%28x%2B2%29%5E2%29=16 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2B%2816-%28x%2B2%29%5E2%29=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and a few more steps to find<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=0%29 ALIGN=MIDDLE  ALT=\"highlight%28x=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Go back to either equation of the system, use this found x=0, and solve for y.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You should find two possible y values.  Not surprising that the two points will be on the vertical y-axis for x=0. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );