document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198934>Question 198934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the number of solutions and classify the type of solutions for each of the following equations.  Justify your answer. \r<BR>\n" );
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document.write( "c)	 ~2x^2 – 4x - 7 ~2 = 0 \r<BR>\n" );
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document.write( "(~ is to stand for the square root sign, I had no other ideal how to put it on there) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149433 by </B><A HREF=/tutors/aboutme.mpl?userid=J2R2R><B>J2R2R(94)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=J2R2R><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=J2R2R><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=149433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ~2x^2 - 4x - 7~2 = 0\r<BR>\n" );
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document.write( "~ means square root; +/- means plus or minus\r<BR>\n" );
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document.write( "a=~2; b=-4; c=-7~2\r<BR>\n" );
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document.write( "Using the b^2 - 4ac test, we have b^2 - 4ac = 16 -- 4*~2*7~2 = 16 + 56 = 72\r<BR>\n" );
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document.write( "Therefore as this is greater than 0 we have two real different roots.\r<BR>\n" );
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document.write( "The roots are (-b+/-~(b^2-4ac))/2a\r<BR>\n" );
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document.write( "Giving (4+/-~72)/2~2\r<BR>\n" );
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document.write( "which simplifies to ~2+/-3\r<BR>\n" );
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document.write( "The two roots are ~2+3 and ~2-3 </SPAN>\n" );
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