document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=527982>Question 527982</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An equation in standard form is ax^2+bx+c=0<BR>\n" );
document.write( "Solve equation by completing the square and leaving all variables as is. What are the steps to solving this question? The answer should be x=-bħsqrtb^2-4ac<BR>\n" );
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document.write( "Answer in words: x is equal to negative b plus or minus square root of (b^2-4ac) all right side of equation divided by 2a. Show all steps that change ax^2+bx+c=0 into the answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349109 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=349109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, divide both sides by a (so that completing the square will be easier).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^2 + \frac{b}{a}x + \frac{c}{a} = 0\">\r<BR>\n" );
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document.write( "Now complete the square:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (x + \frac{b}{2a})^2 + C = 0\"> where C is some unknown value. If you expand and equate the constant terms, you will find that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE C = \frac{c}{a} - \frac{b^2}{4a^2} = \frac{4ac - b^2}{4a^2}\">\r<BR>\n" );
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document.write( "Hence,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (x + \frac{b}{2a})^2 = -C = \frac{b^2 - 4ac}{4a^2}\">, take square root of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \pm(x + \frac{b}{2a}) = \frac{\sqrt{b^2 - 4ac}}{2a}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\">, the quadratic formula. </SPAN>\n" );
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