document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473683>Question 473683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if p+q=4 and p^2+q^2=7,then the value of p/q is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324891 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=324891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if p+q=4 and p^2+q^2=7,then the value of p/q is<BR>\n" );
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document.write( "p = 4-q<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute for \"p\" and solve for \"q\":<BR>\n" );
document.write( "(4-q)^2 + q^2 = 7<BR>\n" );
document.write( "16-8q+2q^2 = 7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2q^2-8q - 23 = 0<BR>\n" );
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document.write( "q = [8 +- sqrt(64 - 4*2*-23)]/4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "q = [8 +- sqrt(248]]4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "q = [8 +- 2sqrt(62)]/4<BR>\n" );
document.write( "--<BR>\n" );
document.write( "q = [2 + (1/2)sqrt(62)] or q = [2 - (1/2)sqrt(62)]<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "p/q = (4-q)/[2 + (1/2)sqrt(62)] or p/q = (4-q)/[2 - (1/2)sqrt(62)]<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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