document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121268>Question 1121268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Resuelve completando el trinomio cuadrado perfecto: 0=2x^2-5x-12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737080 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=737080\">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( "You asked: Solve by completing the perfect square trinomial\r<BR>\n" );
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document.write( "We must have a language problem here because your quadratic is not a perfect square trinomial.  I'm almost certain that you wanted to ask \"Solve 2x^2 - 5x - 12 = 0 by completing the square\"\r<BR>\n" );
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document.write( "<i>Aquí debemos tener un problema de lenguaje porque su cuadrática no es un trinomio cuadrado perfecto. Estoy casi seguro de que querías preguntar \"Resuelve 2x ^ 2 - 5x - 12 = 0 completando el cuadrado\"</i>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2x^2\ -\ 5x\ -\ 12\ =\ 0\">\r<BR>\n" );
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document.write( "Add the additive inverse of the constant term to both sides and then divide both sides by the lead coefficient:\r<BR>\n" );
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document.write( "<i>Agregue el aditivo inverso del término constante a ambos lados y luego divida ambos lados por el coeficiente principal:</i>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ \frac{5}{2}x\ =\ 6\">\r<BR>\n" );
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document.write( "Divide the first-degree coefficient by 2, square the result, and add that result to both sides of the equation.\r<BR>\n" );
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document.write( "<i>Divida el coeficiente de primer grado entre 2, cuadre el resultado y agregue ese resultado a ambos lados de la ecuación.</i>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ \frac{5}{2}x\ +\ \frac{25}{16}\ =\ 6\ +\ \frac{25}{16}\">\r<BR>\n" );
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document.write( "The left-hand side is now a perfect square.  Factor it and simplify the right-hand side:\r<BR>\n" );
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document.write( "<i> El lado izquierdo ahora es un cuadrado perfecto. Factorícelo y simplifique el lado derecho:</i>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \(x\ -\ \frac{5}{4}\)^2\ =\ \frac{121}{16}\">\r<BR>\n" );
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document.write( "Take the square root remembering to include both positive and negative roots\r<BR>\n" );
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document.write( "<i>Tome la raíz cuadrada recordando incluir raíces positivas y negativas</i>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ -\ \frac{5}{4}\ =\ \pm\sqrt{\frac{121}{16}}\ =\ \pm\frac{11}{4}\">\r<BR>\n" );
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document.write( "Then\r<BR>\n" );
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document.write( "<i>Entonces</i>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{11}{4}\ +\ \frac{5}{4}\ =\ 4\">\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<i>o</i>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ -\frac{11}{4}\ +\ \frac{5}{4}\ =\ \frac{3}{2}\">\r<BR>\n" );
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document.write( "								<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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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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