document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=423230>Question 423230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (20t^2+t)^2-22(20t^2+t)+21=0 \r<BR>\n" );
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document.write( "what are the solutions of t? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295253 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=295253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (20t^2+t)^2-22(20t^2+t)+21=0 <BR>\n" );
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document.write( "Let w = 20t^2+t<BR>\n" );
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document.write( "Substitute to get:<BR>\n" );
document.write( "w^2 - 22w + 21 = 0<BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "(w-21)(w-1) = 0<BR>\n" );
document.write( "w = 21 or w = 1<BR>\n" );
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document.write( "Solve for \"t\":<BR>\n" );
document.write( "If w = 21,<BR>\n" );
document.write( "20t^2+t = 21<BR>\n" );
document.write( "20t^2+t-21 = 0<BR>\n" );
document.write( "(t-1)(20t+21) = 0<BR>\n" );
document.write( "t = 1 or t = -21/20<BR>\n" );
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document.write( "If w = 1<BR>\n" );
document.write( "20t^2+t= 1<BR>\n" );
document.write( "20t^2+t-1 = 0<BR>\n" );
document.write( "(5t-1)(4t+1) = 0<BR>\n" );
document.write( "t = 1/5 of t = -1/4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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