document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84902>Question 84902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help I need to know do these Quadriac Equations have a solution or not. And how to justify the answer.\r<BR>\n" );
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document.write( "a) 5x^2 + 8x + 7 = 0 <BR>\n" );
document.write( "b) (7)^1/2y^2 - 6y - 13(7)^1/2 = 0 <BR>\n" );
document.write( "c) 2x^2 + x - 1 = 0 <BR>\n" );
document.write( "d) 4/3x^2 - 2x + 3/4 = 0 <BR>\n" );
document.write( "e) 2x^2 + 5x + 5 = 0 <BR>\n" );
document.write( "f) p^2 - 4p + 4 = 0 <BR>\n" );
document.write( "g) m^2 + m + 1 = 0 <BR>\n" );
document.write( "h) 3z^2 + z - 1 = 0 \r<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 #61514 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=61514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to know do these Quadriac Equations have a solution or not. And how to justify the answer.<BR>\n" );
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document.write( "Check out b^2-4ac for each problem.<BR>\n" );
document.write( "If it is >0 you have two Real number solutions<BR>\n" );
document.write( "If it is =0 you have two equal Real number solutions<BR>\n" );
document.write( "If it is <0 you have no Real number solutions; the solutions are complex.<BR>\n" );
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document.write( "a) 5x^2 + 8x + 7 = 0<BR>\n" );
document.write( "Example: 8^2-4*5*7<0, so no Real number solutions<BR>\n" );
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document.write( "b) (7)^1/2y^2 - 6y - 13(7)^1/2 = 0 <BR>\n" );
document.write( "c) 2x^2 + x - 1 = 0 <BR>\n" );
document.write( "Example: 1^2-4*2*-1>0, so two Real number solutions<BR>\n" );
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document.write( "d) 4/3x^2 - 2x + 3/4 = 0 <BR>\n" );
document.write( "Multiply thru by 12 to get:<BR>\n" );
document.write( "16x^2 - 24x + 9 = 0<BR>\n" );
document.write( "Example: 24^2-4*16*9 = 0, so two equal Real number solutions<BR>\n" );
document.write( "e) 2x^2 + 5x + 5 = 0 <BR>\n" );
document.write( "f) p^2 - 4p + 4 = 0 <BR>\n" );
document.write( "g) m^2 + m + 1 = 0 <BR>\n" );
document.write( "h) 3z^2 + z - 1 = 0 <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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