document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403687>Question 403687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would you find the equation for the quadratic function that  has zeros 5 and 1 and f(0)=1? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285405 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+ax%5E2+%2B+bx+%2B+c ALIGN=MIDDLE  ALT=\"f%28x%29+=+ax%5E2+%2B+bx+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+a%28x%5E2+%2B+%28bx%29%2Fa++%2Bc%2Fa+%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+a%28x%5E2+%2B+%28bx%29%2Fa++%2Bc%2Fa+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then from the given roots, b/a = -6, and c/a = 5, from the product and sum of roots formulas for the quadratic equation. Also, c = 1, from f(0) = 1.<BR>\n" );
document.write( "Then 1 = 5a, or a = 1/5.<BR>\n" );
document.write( "==> 5b = -6, or b = -6/5. </SPAN>\n" );
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