document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006383>Question 1006383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me with this? Thanks :)\r<BR>\n" );
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document.write( "a, b, c are positive real numbers that satisfy the equation below:<BR>\n" );
document.write( "ab + c^2 = 18<BR>\n" );
document.write( "a^2 + b^2 = 12\r<BR>\n" );
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document.write( "What is the value of a x b x c?<BR>\n" );
document.write( "a. 6<BR>\n" );
document.write( "b. 8<BR>\n" );
document.write( "c. 10<BR>\n" );
document.write( "d. 12<BR>\n" );
document.write( "e. 24 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622539 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=622539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Answer is not unique. Note that we can pick a, b, such that a^2 + b^2 = 12, and as long as ab < 18, we can determine c.\r<BR>\n" );
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document.write( "For example:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large a = 2, b = 2\sqrt{2}\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \Rightarrow c^2 = 18 - 4 \sqrt{2} \Rightarrow c \approx 3.513\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \Rightarrow abc \approx 19.87\">\r<BR>\n" );
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document.write( "which already doesn't match any answer choice. </SPAN>\n" );
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