document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=290686>Question 290686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average of two numbers a and b is C, and the product of a and b is D. What is then a^2 + b^2\r<BR>\n" );
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document.write( "(a) C^2- 2D (b) 2C^2- 2D (c) 4C^2- D (d) 2C^2- D (e) 4C^2- 2D </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210394 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=210394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The average of two numbers a and b is C,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%2F2 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = c<BR>\n" );
document.write( "a + b = 2c<BR>\n" );
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document.write( "and the product of a and b is D.<BR>\n" );
document.write( "ab = d<BR>\n" );
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document.write( "What is then a^2 + b^2<BR>\n" );
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document.write( "We know (a+b)*(a+b) = a^2 + 2ab + b^2<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2c * 2c = 4c^2 = a^2 + 2ab + b^2 <BR>\n" );
document.write( "we know<BR>\n" );
document.write( "2ab = 2d, subtract this to get a^2 + b^2<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "a^2 + b^2 = 4c^2 - 2d </SPAN>\n" );
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