document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273332>Question 273332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My Textbook gives a sample hyperbola equation\r<BR>\n" );
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document.write( "(x^2 / 9) - (y^2 / 16) = 1\r<BR>\n" );
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document.write( "It then has\r<BR>\n" );
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document.write( "y = ±(4/3)&#8730;x^2 - 9\r<BR>\n" );
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document.write( "I would like someone to explain to me step by step how my textbook got to this answer or is it that i am missing out on some detail. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199696 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=199696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> My Textbook gives a sample hyperbola equation <BR>\n" );
document.write( "(x^2 / 9) - (y^2 / 16) = 1 <BR>\n" );
document.write( "It then has <BR>\n" );
document.write( "y = ±(4/3)&#8730;x^2 - 9 <BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "(x^2/9) - (y^2/16) = 1<BR>\n" );
document.write( "Multiply thru by 144 to get:<BR>\n" );
document.write( "16x^2 - 9y^2 = 144<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "9y^2 = 16x^2-144<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Divide thru by 9 to get:<BR>\n" );
document.write( "y^2 = (16/9)x^2 - 16<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = +/- sqrt(16/9)x^2 - 16)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Factor out the 16<BR>\n" );
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document.write( "y = +/-4sqrt((1/9)x^2 - 1)<BR>\n" );
document.write( "y = +/-4sqrt[(1/9)(x^2 - 9)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Bring out the (1/9)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = +/-(4/3)sqrt(x^2 - 9)<BR>\n" );
document.write( "================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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