document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551010>Question 551010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the two roots of a quadratic equation is 5 and their product is -6. What could be the equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359328 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=359328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of the two roots of a quadratic equation is 5 and their product is -6. What could be the equation?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let the two roots be a and b<BR>\n" );
document.write( "a + b = 5<BR>\n" );
document.write( "b = (5-a)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "ab = -6<BR>\n" );
document.write( "so we have<BR>\n" );
document.write( "a(5-a) = -6<BR>\n" );
document.write( "5a - a^2 = -6<BR>\n" );
document.write( "0 = a^2 - 5a - 6 could be the equation<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(a-6)(a+1)= 0<BR>\n" );
document.write( "two solutions<BR>\n" );
document.write( "a=6, then b=-1<BR>\n" );
document.write( "a=-1 then b=6<BR>\n" );
document.write( " </SPAN>\n" );
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