document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59581>Question 59581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can't seem to get these right - help would be appreciated:\r<BR>\n" );
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document.write( "(Not necessary to find the roots - just determine the number & type of solution) use a discriminant to determine the number of solutions for the quadratic equasions - and if the solutions are real or complex.\r<BR>\n" );
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document.write( "a. 2x^2+x-1=0\r<BR>\n" );
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document.write( "b. 4/3x^2-2x+3/4=0\r<BR>\n" );
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document.write( "c. m^2+m+1=0\r<BR>\n" );
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document.write( "Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40854 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (Not necessary to find the roots - just determine the number & type of solution) use a discriminant to determine the number of solutions for the quadratic equasions - and if the solutions are real or complex.<BR>\n" );
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document.write( "The discriminant of a quadratic equation written in standard 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;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b%5E2-4ac%29 ALIGN=MIDDLE  ALT=\"highlight%28b%5E2-4ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the discriminant is positive, there are two real solutions.<BR>\n" );
document.write( "If the discriminant is 0, there is one real solution.<BR>\n" );
document.write( "If the discriminant is negative, there are two complex solutions.<BR>\n" );
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document.write( "a. 2x^2+x-1=0  a=2, b=1, c=-1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=%281%29%5E2-4%282%29%28-1%29 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%281%29%5E2-4%282%29%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B8=9 ALIGN=MIDDLE  ALT=\"1%2B8=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The discriminant is positive, there are two real solutions.<BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( "b. 4/3x^2-2x+3/4=0  a=4/3, b=-2, c=3/4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=%28-2%29%5E2-4%284%2F3%29%283%2F4%29 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%28-2%29%5E2-4%284%2F3%29%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-4%2812%2F12%29%29 ALIGN=MIDDLE  ALT=\"4-4%2812%2F12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-4%281%29 ALIGN=MIDDLE  ALT=\"4-4%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-4 ALIGN=MIDDLE  ALT=\"4-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The discriminant is 0, there is one real solution.<BR>\n" );
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document.write( "c. m^2+m+1=0  a=1, b=1, c=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=%281%29%5E2-4%281%29%281%29 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%281%29%5E2-4%281%29%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-4 ALIGN=MIDDLE  ALT=\"1-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The discriminant is negative, there are two complex solutions.<BR>\n" );
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document.write( "Happy Calculating!!! </SPAN>\n" );
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