document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180002>Question 180002</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am having some trouble with quadratic formulas, can you help me please? Here is the problem: 4x^2-x+1=0 This is what I have so far: A=4 B=-1 C=1 X= 1+/-(radical sign)(-1)^2-4(4(1) (All over) 2(4) x=1+/-(radical sign)1-16 (all over) 8 x=1+/-(radical sign) -15 (all over) 8 x=1+/-(radical sign) -1(times)15 (all over) 8 x=1+/-i(racidal sign)15 (all over) 8 and that is as far as I got, Please help me! Thanks a ton,<BR>\n" );
document.write( "Heather </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134886 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=134886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "And the place you arrived is a very fine place to be indeed in view of the fact that you have simplified the expression as far as possible and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{        } \frac {1 \pm i sqrt{15}}{8}\">\r<BR>\n" );
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document.write( "are the exact roots of the given equation.  Some purists might expect this to be expressed in complex number form, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a \pm bi\"> making your answer:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{        } \frac {1}{8} \pm \left(\frac {sqrt{15}}{8}\right)i\">\r<BR>\n" );
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document.write( "But if someone at this stage of your mathematics education were to insist upon it, you might be well justified to reply with an eye-roll and a \"<i><b>what</b>ever</i>.\"  The only other thing I can think of is to separate the plus/minus and show the two conjugates as separate entities if your instructor insists, but again, it hardly makes a difference IMHO.\r<BR>\n" );
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document.write( "Anything else you might do to this would only result in a numerical approximation of the answer.  Good job, Heather.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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