document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350877>Question 350877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the discriminant in the quadratic formula is a perfect square, then the quadratic equation will have ___________ solution(s). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #250805 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=250805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rational number.\r<BR>\n" );
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document.write( "a rational number is a number that is the result of an integer being divided by an integer.\r<BR>\n" );
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document.write( "if the discriminant is a perfect square, then the square root is an integer.\r<BR>\n" );
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document.write( "this makes the numerator of the quadratic formula an integer and the denominator of the quadratic formula an integer which results in a rational number.\r<BR>\n" );
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document.write( "the quadratic formula is:\r<BR>\n" );
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document.write( " x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   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=sqrt%28b%5E2-4ac%29 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2-4ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the discriminant.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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