document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924373>Question 924373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP ME PLEASE IF ANYONE CAN<BR>\n" );
document.write( "IF(P-Q)^2=25 AND PQ=14,WHAT IS THE VALUE OF (P+Q)^2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560788 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=560788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's use lower-case for the variables and try a solution.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-q%29%5E2=25 ALIGN=MIDDLE  ALT=\"%28p-q%29%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pq=14 ALIGN=MIDDLE  ALT=\"pq=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you want to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2Bq%29%5E2 ALIGN=MIDDLE  ALT=\"%28p%2Bq%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-2pq%2Bq%5E2=25 ALIGN=MIDDLE  ALT=\"p%5E2-2pq%2Bq%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, first equation partially simplified;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2%2Bq%5E2-2pq=25 ALIGN=MIDDLE  ALT=\"p%5E2%2Bq%5E2-2pq=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute using the second equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2%2Bq%5E2-2%2A14=25 ALIGN=MIDDLE  ALT=\"p%5E2%2Bq%5E2-2%2A14=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2%2Bq%5E2=25%2B28 ALIGN=MIDDLE  ALT=\"p%5E2%2Bq%5E2=25%2B28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2%2Bq%5E2=53 ALIGN=MIDDLE  ALT=\"p%5E2%2Bq%5E2=53\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Another substitution again using from the second equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2%2B%2814%2Fp%29%5E2=53 ALIGN=MIDDLE  ALT=\"p%5E2%2B%2814%2Fp%29%5E2=53\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E4%2B14%5E2=53p%5E2 ALIGN=MIDDLE  ALT=\"p%5E4%2B14%5E2=53p%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E4-53p%5E2%2B14%5E2=0 ALIGN=MIDDLE  ALT=\"p%5E4-53p%5E2%2B14%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solution first for p^2.----------------, this method will be long and very detailed...\r<BR>\n" );
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document.write( "<b>Maybe another way.</b>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p-q=0%2B-+5 ALIGN=MIDDLE  ALT=\"p-q=0%2B-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  from the first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-q=-p%2B-+5 ALIGN=MIDDLE  ALT=\"-q=-p%2B-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28q=p%2B-+5%29 ALIGN=MIDDLE  ALT=\"highlight_green%28q=p%2B-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Using this q in the next equation of pq=14,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28p-5%29=14 ALIGN=MIDDLE  ALT=\"p%28p-5%29=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-5p-14=0 ALIGN=MIDDLE  ALT=\"p%5E2-5p-14=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2B2%29%28p-7%29=0 ALIGN=MIDDLE  ALT=\"%28p%2B2%29%28p-7%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p=-2  OR  p=7<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28p%2B5%29=14 ALIGN=MIDDLE  ALT=\"p%28p%2B5%29=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2%2B5p-14=0 ALIGN=MIDDLE  ALT=\"p%5E2%2B5p-14=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-2%29%28p%2B7%29=0 ALIGN=MIDDLE  ALT=\"%28p-2%29%28p%2B7%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p=2  OR  p=-7\r<BR>\n" );
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document.write( "Again, looking at the pq=14 equation, p and q must be of the same sign so that their product is POSITIVE 14.  This means that their solutions must be:<BR>\n" );
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document.write( "p=-2 and q=-7<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "p=2  and q=7.<BR>\n" );
document.write( "---------------------------\r<BR>\n" );
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document.write( "The exercise question asked for was, find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2Bq%29%5E2 ALIGN=MIDDLE  ALT=\"%28p%2Bq%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Using either combination of p and q found, this expression will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%282%2B7%29%5E2=9%5E2=highlight%2881%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%282%2B7%29%5E2=9%5E2=highlight%2881%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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