document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031237>Question 1031237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many zeros are there for any quadratic function whose discriminant is zero? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645984 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=645984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How would the discriminant be zero?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-r%29%5E2=0 ALIGN=MIDDLE  ALT=\"%28x-r%29%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "How many zeros?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2rx%2Br%5E2=0 ALIGN=MIDDLE  ALT=\"x%5E2-2rx%2Br%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%282r%2B-+sqrt%28%28-2r%29%5E2-4%2A1%2Ar%5E2%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%282r%2B-+sqrt%28%28-2r%29%5E2-4%2A1%2Ar%5E2%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Within that solution is the discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284r%5E2-4r%5E2%29=0 ALIGN=MIDDLE  ALT=\"sqrt%284r%5E2-4r%5E2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which came from starting the equation as perfect square equated to zero.  The equation has EXACTLY ONE solution. </SPAN>\n" );
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