document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619186>Question 619186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If one zero of polynomial 5z2+13z-p is reciprocal of the other then find p. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389457 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=389457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the quadratic equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=+0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The product of the zeros is c/a.<br><BR>\n" );
document.write( "For your expression, in this form, is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5z%5E2%2B13z%2B%28-p%29 ALIGN=MIDDLE  ALT=\"5z%5E2%2B13z%2B%28-p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This makes your<BR>\n" );
document.write( "a = 5<BR>\n" );
document.write( "b = 13<BR>\n" );
document.write( "c = -p<br><BR>\n" );
document.write( "You are told that the zeros of your expression are reciprocals. Zeros of a polynomial are the values for the variable that make the polynomial equal to zero. IOW, they are soluti8ons to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5z%5E2%2B13z%2B%28-p%29+=+0 ALIGN=MIDDLE  ALT=\"5z%5E2%2B13z%2B%28-p%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Inserting your \"a\" and \"c\" into c/a:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-p%29%2F5 ALIGN=MIDDLE  ALT=\"%28-p%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since your zeros are reciprocals are reciprocals and since the product of any reciprocals is always a 1, c/a must be 1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-p%29%2F5+=+1 ALIGN=MIDDLE  ALT=\"%28-p%29%2F5+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now we just solve this for p. Multiplying each side by 5:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-p+=+5 ALIGN=MIDDLE  ALT=\"-p+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying (or dividing) both sides by -1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+-5 ALIGN=MIDDLE  ALT=\"p+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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