document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207658>Question 1207658</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the real solutions of the equation. \r<BR>\n" );
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document.write( "(5x^2 - 6)^(1/4) = x\r<BR>\n" );
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document.write( "I found x to be -sqrt{6} and sqrt{6}.\r<BR>\n" );
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document.write( "The textbook answer is x = sqrt{2} and x = sqrt{3}.\r<BR>\n" );
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document.write( "Help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845655 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i solved it this way.\r<BR>\n" );
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document.write( "start with (5x^2 - 6) ^ (1/4) = x<BR>\n" );
document.write( "raise both sides of the equation to the 4th power to get:<BR>\n" );
document.write( "5x^2 - 6 = x^4<BR>\n" );
document.write( "subtract the left side of the equation from both sides to get:<BR>\n" );
document.write( "0 = x^4 - 5x^2 + 6<BR>\n" );
document.write( "replace x^2 with k.<BR>\n" );
document.write( "you get k^2 - 5k + 6 = 0<BR>\n" );
document.write( "factor to get:<BR>\n" );
document.write( "(k - 3) * (k - 2) = 0.<BR>\n" );
document.write( "solve for k to get:<BR>\n" );
document.write( "k = 3 or k = 2<BR>\n" );
document.write( "replace k with x^2 to get:<BR>\n" );
document.write( "x^2 = 3 or x^2 = 2<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = sqrt(3) or x = sqrt(2).\r<BR>\n" );
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document.write( " </SPAN>\n" );
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