document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631890>Question 631890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by Completing the Square: \r<BR>\n" );
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document.write( "2x^2 - 3x + 1 = 0 \r<BR>\n" );
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document.write( "This problem is troubling me ! Thank you for your time and help !! I really appreciate it :) Please show work through steps so I have a thorough understanding. THank you so much !  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397871 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=397871\">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( "Multiply the equation by the reciprocal of the lead coefficient:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ \frac{3}{2}x\ +\ \frac{1}{2}\ =\ 0\">\r<BR>\n" );
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document.write( "Add the opposite of the constant term to both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ \frac{3}{2}x\ =\ -\frac{1}{2}\">\r<BR>\n" );
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document.write( "Divide the coefficient on the first degree term by 2, square the result, then add that result to both sides of the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ \frac{3}{2}x\ +\ \frac{9}{16}\ =\ -\frac{1}{2}\ +\ \frac{9}{16}\">\r<BR>\n" );
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document.write( "Factor the perfect square trinomial in the LHS\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(x\ -\ \frac{3}{4}\right)^2\ =\ \frac{1}{16}\">\r<BR>\n" );
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document.write( "Take the square root of both sides, remembering to consider both the positive and negative roots\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ -\ \frac{3}{4}\ =\ \pm\sqrt{\frac{1}{16}}\">\r<BR>\n" );
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document.write( "Simplify and specify both roots:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{1}{2}\">\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" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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