document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=737342>Question 737342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm very confused on the substitution method, so I will write the question as it appears on the assignment.<BR>\n" );
document.write( "Solve the following equation using the substitution method.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-5x%5E2-14=0 ALIGN=MIDDLE  ALT=\"x%5E4-5x%5E2-14=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Complete the following steps to solve the above equation:<BR>\n" );
document.write( " a. Let u=x^2, substitute the variables, and write the new equation.<BR>\n" );
document.write( " b. Now factor the new equation, apply the zero-product principle, & solve for u.<BR>\n" );
document.write( " c. Now substitute u=x^2 to solve for x.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450308 by </B><A HREF=/tutors/aboutme.mpl?userid=Susan-math><B>Susan-math(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Susan-math><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=450308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=x%5E2 ALIGN=MIDDLE  ALT=\"u=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2=%28x%5E2%29%5E2=x%5E4 ALIGN=MIDDLE  ALT=\"u%5E2=%28x%5E2%29%5E2=x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4+-5x%5E2+-14=0 ALIGN=MIDDLE  ALT=\"x%5E4+-5x%5E2+-14=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2+-+5u+-14+=+0 ALIGN=MIDDLE  ALT=\"u%5E2+-+5u+-14+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Which easily factors to be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u+-+7%29%28u+%2B+2%29+=+0 ALIGN=MIDDLE  ALT=\"%28u+-+7%29%28u+%2B+2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Set each factor to zero to solve.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u-7=0++or+u%2B2+=0 ALIGN=MIDDLE  ALT=\"u-7=0++or+u%2B2+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "This gives us u = 7 or u = -2. \r<BR>\n" );
document.write( "\n" );
document.write( "But we don't want u, we want x. Time to substitute using<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=x%5E2 ALIGN=MIDDLE  ALT=\"u=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=7+or+x%5E2=-2 ALIGN=MIDDLE  ALT=\"x%5E2=7+or+x%5E2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "So we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%287%29 ALIGN=MIDDLE  ALT=\"x=sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%287%29 ALIGN=MIDDLE  ALT=\"x=sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=i%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"x=i%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-i%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"x=-i%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );