document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156591>Question 156591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.x^4=5x^2<BR>\n" );
document.write( "2.x^4+18x^3+8x+144=0<BR>\n" );
document.write( "3.x^3+19x^2-7x-133=0<BR>\n" );
document.write( "4.x^6-13x^5-7x=-91<BR>\n" );
document.write( "I need help solving these. So far I have spent hours on just these problems our teacher doesn't explain things very well.<BR>\n" );
document.write( "Thanks <BR>\n" );
document.write( "Lauren </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115379 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=115379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.x^4=5x^2<BR>\n" );
document.write( "x^4 - 5x^2 = <BR>\n" );
document.write( "x^2 (x^2 - 5) = 0<BR>\n" );
document.write( "x^2 (x-sqrt(5))(x+sqrt(5)) = 0<BR>\n" );
document.write( "x = 0 or x = sqrt(5) or x = -sqrt(5)<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "2.x^4+18x^3+8x+144=0<BR>\n" );
document.write( "x^3(x+18) + 8(x+18) = 0<BR>\n" );
document.write( "(x+18)(x^3+8) = 0<BR>\n" );
document.write( "(x+18)(x+2)(x^2-2x+4) = 0<BR>\n" );
document.write( "x = -18 or x = -2 or x^2-2x+4 =0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Use the quadratic formula on x^2-2x+4<BR>\n" );
document.write( "x = [2 +- sqrt(4 - 4*1*4)]/2<BR>\n" );
document.write( "x = [2 +- sqrt(-12)]/2<BR>\n" );
document.write( "x = [1 +- isqrt(3)]<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "3.x^3+19x^2-7x-133=0<BR>\n" );
document.write( "x^2(x + 19) -7(x+19) = 0 <BR>\n" );
document.write( "(x+19)(x^2-7) = 0 <BR>\n" );
document.write( "(x+19)(x-sqrt(7))(x+sqrt(7)) = 0<BR>\n" );
document.write( "x = -19 or x=sqrt(7) or x=-sqrt(7)<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "4.x^6-13x^5-7x=-91<BR>\n" );
document.write( "x^6 - 13x^5 -7x + 91 = 0<BR>\n" );
document.write( "x^5(x-13) - 7(x-13) = 0<BR>\n" );
document.write( "(x-13)(x^5-7) = 0<BR>\n" );
document.write( "x = 13 and x = 7^(1/5)<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );