document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=816668>Question 816668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if r and s are the roots of the equation 2x^2-3x+4=o, what is 4r^2+7rs+4s^2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491651 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=491651\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  2x^2-3x+4=o, what is 4r^2+7rs+4s^2\r<BR>\n" );
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document.write( " 4r^2+7rs+4s^2\r<BR>\n" );
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document.write( "in the quadratic ax^2+bx+c=0 if p & q are the root of the equation<BR>\n" );
document.write( "p+q=-b/a<BR>\n" );
document.write( "pq=c/a\r<BR>\n" );
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document.write( "Similarly <BR>\n" );
document.write( "in 2x^2-3x+4=o\r<BR>\n" );
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document.write( "r+s=3/2\r<BR>\n" );
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document.write( "rs=2\r<BR>\n" );
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document.write( "4r^2+7rs+4s^2\r<BR>\n" );
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document.write( "4r^2+8rs +4s^2 -8rs+7rs\r<BR>\n" );
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document.write( "(2r+2s)^2-rs\r<BR>\n" );
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document.write( "4(r+s)^2-rs\r<BR>\n" );
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document.write( "4(3/2)-2\r<BR>\n" );
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document.write( "6-2<BR>\n" );
document.write( "=4<BR>\n" );
document.write( " </SPAN>\n" );
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