document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404284>Question 404284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the coordinate of the midpoint of the line joining A(p²,p)and B(q²,q) are (5,1) find the possible values of p and q<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285719 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=285719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the coordinate of the midpoint of the line joining A(p²,p)and B(q²,q) are (5,1) find the possible values of p and q\r<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "(p^2+q^2)/2 = 5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(p+q)/2 = 1<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Modify:<BR>\n" );
document.write( "p^2+q^2 = 10<BR>\n" );
document.write( "p + q = 2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute for \"p\" and solve for \"q\":<BR>\n" );
document.write( "(2-q)^2+q^2 = 10<BR>\n" );
document.write( "4-4q+2q^2 = 10<BR>\n" );
document.write( "2q^2-4q-6 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2q^2-6q+2q-6 = 0<BR>\n" );
document.write( "2q(q-3)+2(q-3) = 0<BR>\n" );
document.write( "(q-3)(2q+2) = 0<BR>\n" );
document.write( "q = 3 or q = -1<BR>\n" );
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document.write( "Solve for \"p\":<BR>\n" );
document.write( "If q = 3<BR>\n" );
document.write( "Since p+q = 2<BR>\n" );
document.write( "p = 2-q = -1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "If q = -1<BR>\n" );
document.write( "Since p+q = 2<BR>\n" );
document.write( "p = 3<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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