document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192005>Question 1192005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the values of​ a, b, and c for which the quadratic equation ax^2+bx+c=0 has the solutions 5-√26 and 5+ √26.<BR>\n" );
document.write( "​(Hint: Use the​ zero-product property in​ reverse.)<BR>\n" );
document.write( "a=<BR>\n" );
document.write( "b=<BR>\n" );
document.write( "c=<BR>\n" );
document.write( "(Type an integer or a simplified faction.)<BR>\n" );
document.write( "Thank you so much for your help!(: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823919 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "We can assume at the start that a=1; if that leads to values of b and/or c that are not integers, we can scale up our answer.<br><BR>\n" );
document.write( "If a is 1, then b is the opposite of the sum of the roots, and c is the product of the roots.<br><BR>\n" );
document.write( "The sum of the roots is 10.<br><BR>\n" );
document.write( "The product of the roots is 25-26=-1.<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "a=1<BR>\n" );
document.write( "b=-10<BR>\n" );
document.write( "c=-1<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );