document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=8591>Question 8591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have two problems that I am stuck on.\r<BR>\n" );
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document.write( "1.  5z^2 - 4z + 1= 0\r<BR>\n" );
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document.write( "this is how I started.\r<BR>\n" );
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document.write( "5z^2 - 4z = -1\r<BR>\n" );
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document.write( "5z^2 4z + 4 = -1 + 4\r<BR>\n" );
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document.write( "(z-2)^2 = -3\r<BR>\n" );
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document.write( "z-2 = plus or minus i the square root of -3\r<BR>\n" );
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document.write( "2 +  - i / 5\r<BR>\n" );
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document.write( "I  dont even know if this is correct.\r<BR>\n" );
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document.write( "2. 5t^2 + 4t - 3 = 0\r<BR>\n" );
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document.write( "5t^2 + 4t = 3\r<BR>\n" );
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document.write( "5t^2 - 4z + 4 = 3 - 4\r<BR>\n" );
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document.write( "(t + 2)^2 = -1\r<BR>\n" );
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document.write( "t + 2 =   =/- -1\r<BR>\n" );
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document.write( "then I'm lost.   Any help would be greatly appreciated. Thank you.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4751 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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/cgi-bin/show-face.mpl?user=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=4751\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm afraid in both exercises, you have tried to solve by completing the square on the z and t terms, but completing the square requires that the coefficient in the squared term MUST BE 1.  So completing the square in problems like this really gets ugly.  You are better off to use the quadratic formula:\r<BR>\n" );
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document.write( "1.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5z%5E2+-4z%2B1+=+0 ALIGN=MIDDLE  ALT=\"5z%5E2+-4z%2B1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=5, b=-4, c=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=+%284%2B-sqrt%2816-4%2A5%2A1%29%29%2F%282%2A5%29 ALIGN=MIDDLE  ALT=\"z=+%284%2B-sqrt%2816-4%2A5%2A1%29%29%2F%282%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=+%284+%2B-sqrt%28-4%29%29%2F10 ALIGN=MIDDLE  ALT=\"z=+%284+%2B-sqrt%28-4%29%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=+%284%2B-i%2A2%29%2F10 ALIGN=MIDDLE  ALT=\"z=+%284%2B-i%2A2%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=+%282+%2B-i%29%2F5 ALIGN=MIDDLE  ALT=\"z=+%282+%2B-i%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5t%5E2+%2B+4t+-+3+=+0 ALIGN=MIDDLE  ALT=\"5t%5E2+%2B+4t+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=5, b=4, c=-3\r<BR>\n" );
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document.write( "The result is similar.\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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