document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760715>Question 760715</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use a quadratic equation to find two real numbers  that satisfy each equation for their sum is 7, and their product is 15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462850 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=462850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two numbers, h and k.<BR>\n" );
document.write( "hk=15 and h+k=7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=7-k ALIGN=MIDDLE  ALT=\"h=7-k\"   DISABLED_style= \"max-width:90%; height:auto;\" >, substitute into the 15 equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h%29k=15 ALIGN=MIDDLE  ALT=\"%28h%29k=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287-k%29k=15 ALIGN=MIDDLE  ALT=\"%287-k%29k=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7k-k%5E2=15 ALIGN=MIDDLE  ALT=\"7k-k%5E2=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-k%5E2%2B7k-15=0 ALIGN=MIDDLE  ALT=\"-k%5E2%2B7k-15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2-7k%2B15=0 ALIGN=MIDDLE  ALT=\"k%5E2-7k%2B15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which would have been what lead to your question.  Use the general solution to a quadratic equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%287%2B-+sqrt%2849-4%2A15%29%29%2F2 ALIGN=MIDDLE  ALT=\"k=%287%2B-+sqrt%2849-4%2A15%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%287%2B-+sqrt%28-11%29%29%2F2 ALIGN=MIDDLE  ALT=\"k=%287%2B-+sqrt%28-11%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "NO REAL SOLUTION </SPAN>\n" );
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