document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172673>Question 172673</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry Structure and Method book 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!\r<BR>\n" );
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document.write( "Fractional Equations<BR>\n" );
document.write( "(1/x^2)-x^2 over (1/x)+x=3/2<BR>\n" );
document.write( "I was also wondering if you would include the domain restriction and the LCD PLEASE! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127526 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=127526\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> [(1/x^2)-x^2 / [(1/x)+x] = 3/2<BR>\n" );
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document.write( "Since x is in the denominator, x cannot be zero.<BR>\n" );
document.write( "lcd of the numerator is x^2 ; lcd of the denominator is \"x\".<BR>\n" );
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document.write( "Simplify:\r<BR>\n" );
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document.write( "[(1-x^4)/x^2] / [(1+x^2)/x] = 3/2\r<BR>\n" );
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document.write( "Invert the denominator and multiply:\r<BR>\n" );
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document.write( "[(1-x^4)/x^2] * [x/(1+x^2)] = 3/2\r<BR>\n" );
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document.write( "Cancel where you can to get:\r<BR>\n" );
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document.write( "[(1-x^2)/x] = 3/2<BR>\n" );
document.write( "Cross multiply to get:<BR>\n" );
document.write( "2(1-x^2) = 3x<BR>\n" );
document.write( "2 - 2x^2 = 3x<BR>\n" );
document.write( "2x^2 + 3x -1 = 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Use the Quadratic Formula to get:\r<BR>\n" );
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document.write( "x = [-3 +- sqrt(9 -4*2*-1)]/4\r<BR>\n" );
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document.write( "x = [-3 +- sqrt(17)]/4\r<BR>\n" );
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document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
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