document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221970>Question 221970</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve using complete the square. My answer does not match the book:<BR>\n" );
document.write( "2x^2+8x+1=0<BR>\n" );
document.write( "2x^2+8x=-1<BR>\n" );
document.write( "2(x^2+4x)=-1<BR>\n" );
document.write( "2{(x^2+4x+(4/2)^2}=-1+2times(4/2)^2<BR>\n" );
document.write( "2(x^2+4x+4)=7<BR>\n" );
document.write( "2(x+2)^2=7<BR>\n" );
document.write( "(x+2)^2=7/2<BR>\n" );
document.write( "x+2=+or-square root of 7/2<BR>\n" );
document.write( "x=-2+or-square root of 7/2<BR>\n" );
document.write( "The answer book states x=-2+or-the square root of 14/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166315 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=166315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "You did the completion of the square correctly.  The only problem you have is in the simplification of your answer.\r<BR>\n" );
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document.write( "You have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ -2\ \pm\ \sqrt{\frac{7}{2}}\">\r<BR>\n" );
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document.write( "Which IS a correct answer, it just isn't in simplest form.  The problem is that the denominator of the fraction in the irrational part of the answer is irrational.  You need to rationalize the denominator, thus:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ -2\ \pm\ \sqrt{\frac{7}{2}}\ =\ -2\ \pm\ \left(\frac{\sqrt{7}}{sqrt{2}}\right)\left(\frac{\sqrt{2}}{\sqrt{2}}\right)\ = -2\ \pm\ \frac{\sqrt{14}}{2}\">\r<BR>\n" );
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document.write( "Which I suspect matches your book's answer.\r<BR>\n" );
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document.write( "For more on this subject, see my lesson on rationalizing denominators:\r<BR>\n" );
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document.write( "http://www.algebra.com/algebra/homework/Radicals/rationalizingdenominators1.lesson\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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