document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171526>Question 171526</A>: <I><SPAN STYLE=\"word-break: break-all;\">  How would I write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as: \r<BR>\n" );
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document.write( "Integers <BR>\n" );
document.write( "Rational numbers <BR>\n" );
document.write( "Irrational numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126697 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=126697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to write three equations of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Integers are whole numbers, either positive or negative.  -4, 5, and 23 are integers, for example.  0 (zero) is also an integer.\r<BR>\n" );
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document.write( "Rational numbers are numbers that can be expressed as the quotient of two integers.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F4 ALIGN=MIDDLE  ALT=\"-3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2F14 ALIGN=MIDDLE  ALT=\"37%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > are rational numbers  (all integers are also rational, by the way)\r<BR>\n" );
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document.write( "Irrational numbers are any real numbers that CANNOT be expressed as the quotient of two integers.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%2887%29 ALIGN=MIDDLE  ALT=\"-sqrt%2887%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e ALIGN=MIDDLE  ALT=\"e\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the base of the natural logarithms) are irrational numbers.\r<BR>\n" );
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document.write( "In each case, pick any numbers you like within the given constraints for the caracter of the coefficients, and substitute them for a, b, and c in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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