document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983423>Question 983423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the number p is 7 more than the number q and the sum of the squares of p and q is 85 find the product of p and q? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604220 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p = q + 7<BR>\n" );
document.write( "(q + 7)^2 + q^2 = 85<BR>\n" );
document.write( "q^2 + 14q + 49 + q^2 = 85<BR>\n" );
document.write( "2q^2 + 14q + 49 = 85<BR>\n" );
document.write( "2q^2 + 14q - 36 = 0<BR>\n" );
document.write( "q^2 + 7q - 18 = 0<BR>\n" );
document.write( "(q+9) * (q-2) = 0<BR>\n" );
document.write( "q is -9 or 2, therefore<BR>\n" );
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document.write( "we have two solutions<BR>\n" );
document.write( "q = -9 and p = -2<BR>\n" );
document.write( "q = 2 and p = 9<BR>\n" );
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