document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180877>Question 180877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find a quadratic equation if you are only given the solution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135607 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=135607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     How do you find a quadratic equation if you are only given the solution<BR>\n" );
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document.write( "Let's say, for example, you were given that the solutions of a quadratic is:<BR>\n" );
document.write( "x = {-3, 6}<BR>\n" );
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document.write( "Given that, you can say that the following are factors:<BR>\n" );
document.write( "(x+3)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(x-6)<BR>\n" );
document.write( "That is, if you saw:<BR>\n" );
document.write( "(x+3)(x-6) = 0<BR>\n" );
document.write( "you would say the solutions are x = {-3, 6}<BR>\n" );
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document.write( "To find the quadratic, multiply the two factors:<BR>\n" );
document.write( "(x+3)(x-6)<BR>\n" );
document.write( "Applying FOIL:<BR>\n" );
document.write( "x^2 - 6x + 3x - 18<BR>\n" );
document.write( "x^2 - 3x - 18 (This would be your quadratic)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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