document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271920>Question 271920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a quadratic equation in the variable X having the given numbers as solutions.  Type the equation in standard form of ax^2+bx+c=0.\r<BR>\n" );
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document.write( "Solution: 1, only solution\r<BR>\n" );
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document.write( "The equation is _____________ =0\r<BR>\n" );
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document.write( "Thanks so much for your help :-) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198991 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=198991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Quadratic equations have two solutions. And the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-r%5B1%5D%29%28x-r%5B2%5D%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-r%5B1%5D%29%28x-r%5B2%5D%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is a general form for quadratic equations where the solutions (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D ALIGN=MIDDLE  ALT=\"r%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D ALIGN=MIDDLE  ALT=\"r%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >) can be seen.<br><BR>\n" );
document.write( "Sometimes the solution is \"of multiplicity two\". This means that there is just one number that counts twice as a solution. In other \"words\", <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D+=+r%5B2%5D ALIGN=MIDDLE  ALT=\"r%5B1%5D+=+r%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Since your problem claims to have just one solution, 1, it must be a solution of multiplicity two. And the equation would be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x-1%29=0 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which simplifies to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-2x+%2B1+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-2x+%2B1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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