document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=444589>Question 444589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306428 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=306428\">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" );
document.write( "If 2 and 3 are solutions the equation is<BR>\n" );
document.write( "y = a(x-2)(x-3)<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Is it possible to have different quadratic equations with the same solution?<BR>\n" );
document.write( "But \"a\" may be any non-zero number so there are lots of<BR>\n" );
document.write( "Quadratic equations with the same solutions.<BR>\n" );
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document.write( "If a single number is \"the solution\" it must have multiplicity 2.<BR>\n" );
document.write( "If x = 2 is the only solution,<BR>\n" );
document.write( "y = a(x-2)^2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );