document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=241788>Question 241788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i have -16x^2+88x+3=124 and i have to use the quadratic formula to solve the equation and i have to know at what point of the process does it become obvious that there is only one solution to this equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177074 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=177074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -16x^2+88x+3=124 <BR>\n" );
document.write( "-16x^2+88x+3-124=0<BR>\n" );
document.write( "16x^2-88x+121=0 here you have 16=4^2 & 121=11^2 & 2*4*11=88.<BR>\n" );
document.write( "This identifies a single solution.<BR>\n" );
document.write( "(4x-11)^2=0<BR>\n" );
document.write( "4x-11=0<BR>\n" );
document.write( "x=11<BR>\n" );
document.write( "x=11/4 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "16(11/4)^2-88(11/4)+121=0<BR>\n" );
document.write( "16*121/16-968/4+121=0<BR>\n" );
document.write( "121-242+121=0<BR>\n" );
document.write( "121-242+121=0<BR>\n" );
document.write( "242-242=0<BR>\n" );
document.write( "0=0 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );