document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350876>Question 350876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help solve by completing the square...\r<BR>\n" );
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document.write( "x^2 + 1/2x = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250810 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=250810\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is:\r<BR>\n" );
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document.write( "x^2 + (1/2)*x = 1\r<BR>\n" );
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document.write( "the coefficient of the x^2 term is 1.\r<BR>\n" );
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document.write( "the coefficient of the x term is (1/2)\r<BR>\n" );
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document.write( "take (1/2) of the coefficient of the x term to get (1/4)\r<BR>\n" );
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document.write( "square that to get (1/16)\r<BR>\n" );
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document.write( "your completing the square factor becomes:\r<BR>\n" );
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document.write( "(x + (1/4))^2 = 1 + (1/16)\r<BR>\n" );
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document.write( "take the square root of each side of this equation to get:\r<BR>\n" );
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document.write( "x + (1/4) = +/- sqrt (17/16)\r<BR>\n" );
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document.write( "subtract (1/4) from both sides of this equation to get:\r<BR>\n" );
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document.write( "x = -(1/4) +/- sqrt(17/16)\r<BR>\n" );
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document.write( "that should be your solution.\r<BR>\n" );
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document.write( "if it is, then you can plug those values of x into your original equation and the original equation should be true.\r<BR>\n" );
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document.write( "your values of x come out to be:\r<BR>\n" );
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document.write( "x = .780776406<BR>\n" );
document.write( "x = -1.280776406 \r<BR>\n" );
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document.write( "your original equation is:\r<BR>\n" );
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document.write( "x^2 + (1/2)*x = 1\r<BR>\n" );
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document.write( "plugging the first and second values of x respectively into that equation, you get:\r<BR>\n" );
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document.write( "1 = 1<BR>\n" );
document.write( "1 = 1\r<BR>\n" );
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document.write( "this confirms that the solutions are good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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