document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179152>Question 179152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pleae help.<BR>\n" );
document.write( "Find all real and imaginary solutions to each equation.<BR>\n" );
document.write( "b^4+13b^2+36=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134377 by </B><A HREF=/tutors/aboutme.mpl?userid=monika_p><B>monika_p(71)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=monika_p><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=134377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b^4+13b^2+36=0     <BR>\n" );
document.write( "substitute b^2=t<BR>\n" );
document.write( "t^2+13t+36=0<BR>\n" );
document.write( "discriminant: b^2-4ac=13^2-4*1*36=25<BR>\n" );
document.write( "t1=-13-sqrt(25)/2*1<BR>\n" );
document.write( "t1=-9<BR>\n" );
document.write( "t2=-13+sqrt(25)/2*1<BR>\n" );
document.write( "t2=-4<BR>\n" );
document.write( "Now we have to go back to substitution b^2=t and substitute t1 and t2 in the place of t<BR>\n" );
document.write( "for b^2=-9<BR>\n" );
document.write( "b=sqrt(-9)<BR>\n" );
document.write( "b1=sqrt(9*-1)=sqrt(9*i^2)<BR>\n" );
document.write( "b1=3i<BR>\n" );
document.write( "for b^2=-4<BR>\n" );
document.write( "b=sqrt(-4)<BR>\n" );
document.write( "b2=sqrt(4*-1)=sqrt(4*i^2)<BR>\n" );
document.write( "b2=2i<BR>\n" );
document.write( "answer: b1=3i   b2=2i </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );