document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127225>Question 127225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. Please help me ASAP- I need to turn this in quick. So I have a worksheet that says that I need to discriminate the solutions of the quadratic equation: x squared + 5x + 3 + a. How do I do it and what does the direction mean?\r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93193 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=93193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> discriminate the solutions of the quadratic equation: x squared + 5x + 3 + a.<BR>\n" );
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document.write( "The discriminant of a quadratic is b^2-4ac<BR>\n" );
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document.write( "Your quadratic has a = 1, b=5, c=3+a<BR>\n" );
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document.write( "Your discriminant is 5^2 -4*1*(3+a) = 25-12-4a = 13-4a<BR>\n" );
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document.write( "When the discriminant is less than zero you have no Real Number solutions:<BR>\n" );
document.write( "13-4a < 0<BR>\n" );
document.write( "4a>13<BR>\n" );
document.write( "a > 13/4<BR>\n" );
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document.write( "When the discriminant is equal to zero you have two equal Real number solutions:<BR>\n" );
document.write( "13-4a = 0<BR>\n" );
document.write( "4a = 13<BR>\n" );
document.write( "a = 13/4<BR>\n" );
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document.write( "when the discriminant is greater than zero you have two unequal Real number <BR>\n" );
document.write( "solutions:<BR>\n" );
document.write( "13-4a >0<BR>\n" );
document.write( "4a<13<BR>\n" );
document.write( "a < 13/4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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