document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468615>Question 468615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5. Solve the following equation in the real number system. Please show all of your work.<BR>\n" );
document.write( " x³-6x²-10x+12=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321576 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=321576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5. Solve the following equation in the real number system. Please show all of your work.<BR>\n" );
document.write( "x³-6x²-10x+12=0<BR>\n" );
document.write( "...<BR>\n" );
document.write( "f(x)=x³-6x²-10x+12<BR>\n" );
document.write( "A graphing calculator will show that there is one zero at x=-2<BR>\n" );
document.write( "Divide f(x) by (x+2) by long division or synthetic division<BR>\n" );
document.write( "(x³-6x²-10x+12)/(x+2)=x^2-8x+6<BR>\n" );
document.write( "solve for other two zeros<BR>\n" );
document.write( "x^2-8x+6=0<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "(x^2-8x+16)+6-16=0<BR>\n" );
document.write( "(x-4)^2=10<BR>\n" );
document.write( "x-4=±&#8730;10<BR>\n" );
document.write( "x=4±&#8730;10=7.16 and -.84<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "x=-2, -.84 and 7.16 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );