document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204109>Question 204109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone help me understand this problem?\r<BR>\n" );
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document.write( "Determine the number of solutions and classify the type of solutions for the following equation and justify the answer.\r<BR>\n" );
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document.write( "sqrt2 x^2 - 4x - 7 sqrt2=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154056 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=154056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (sqrt2)x^2 -4x -7sqrt2 =0<BR>\n" );
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document.write( "1.414x^2 -4x -9.899 =0<BR>\n" );
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document.write( "Discriminant(D) = b^2 -4ac,,,,where a=1.414,,b= -4,,,c=-9.899<BR>\n" );
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document.write( "D= { (-4)^2 -4(1.414) (-9.899) } = 72<BR>\n" );
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document.write( "Rules  for  Discriminant  are:<BR>\n" );
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document.write( "D=0,,,one  solution,  curve  intersects  x  axis  in  one  location<BR>\n" );
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document.write( "D>0,,, two  solutions,,curve  intersects  x  axis  in  two  locations<BR>\n" );
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document.write( "D<0,,,no  Real  solutions,,,curve  does  not  intersect  x  axis<BR>\n" );
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document.write( "Finishing  the  quadratic  eqn finds ,,,x= -1.586, +4.415 </SPAN>\n" );
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