document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=743980>Question 743980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Which of the following is closest to one of the solutions of the equation x^2 + 6x - 11 = 0\r<BR>\n" );
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document.write( "a. –3<BR>\n" );
document.write( "b. –1<BR>\n" );
document.write( "c. 0<BR>\n" );
document.write( "d. 2\r<BR>\n" );
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document.write( "2. How many real solutions does the equation x^2 + 4x - n^2 = 0 have?\r<BR>\n" );
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document.write( "a. none<BR>\n" );
document.write( "b. one<BR>\n" );
document.write( "c. two<BR>\n" );
document.write( "d. cannot be determined\r<BR>\n" );
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document.write( "3. How many real solutions does the equation x^2 + bx + 4 = 0 have if b > 0?\r<BR>\n" );
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document.write( "a. none<BR>\n" );
document.write( "b. one<BR>\n" );
document.write( "c. two<BR>\n" );
document.write( "d. cannot be determined<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453115 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=453115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "I won't solve three problems in one post, so I'll just give you three hints.  1.  Substitute each of the answer values given and do the arithmetic.  The answer that gives the smallest absolute value result is the correct answer.  2.  Whenever the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE  a\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE c\"> coefficients have opposite signs, two real and distinct roots are guaranteed.  3.  In order to have any real roots where the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE c\"> coefficients have the same sign, the value <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4ac\"> must be less than or equal to the value <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE b^2\">.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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