document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242931>Question 242931</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to express the following problem in terms of B:\r<BR>\n" );
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document.write( "a = 1/sq root of(1-B^2)\r<BR>\n" );
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document.write( "I cannot figure out how to get rid of the square root since 1-b^2 simplifies to (1+B)(1-B) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177920 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=177920\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1%2Fsqrt%281-b%5E2%29 ALIGN=MIDDLE  ALT=\"a=1%2Fsqrt%281-b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Asqrt%281-b%5E2%29=1 ALIGN=MIDDLE  ALT=\"a%2Asqrt%281-b%5E2%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281-b%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%281-b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281-b%5E2%29=1%2Fa ALIGN=MIDDLE  ALT=\"sqrt%281-b%5E2%29=1%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 'a'.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-b%5E2=%281%2Fa%29%5E2 ALIGN=MIDDLE  ALT=\"1-b%5E2=%281%2Fa%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-b%5E2=1%2Fa%5E2 ALIGN=MIDDLE  ALT=\"1-b%5E2=1%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa ALIGN=MIDDLE  ALT=\"1%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fa%5E2 ALIGN=MIDDLE  ALT=\"1%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%5E2=1%2Fa%5E2-1 ALIGN=MIDDLE  ALT=\"-b%5E2=1%2Fa%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%5E2=1%2Fa%5E2-%28a%5E2%29%2F%28a%5E2%29 ALIGN=MIDDLE  ALT=\"-b%5E2=1%2Fa%5E2-%28a%5E2%29%2F%28a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 1 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E2%29%2F%28a%5E2%29 ALIGN=MIDDLE  ALT=\"%28a%5E2%29%2F%28a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%5E2=%281-a%5E2%29%2Fa%5E2 ALIGN=MIDDLE  ALT=\"-b%5E2=%281-a%5E2%29%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=-%281-a%5E2%29%2Fa%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=-%281-a%5E2%29%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=%28a%5E2-1%29%2Fa%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=%28a%5E2-1%29%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%22%22%2B-sqrt%28%28a%5E2-1%29%2Fa%5E2%29 ALIGN=MIDDLE  ALT=\"b=%22%22%2B-sqrt%28%28a%5E2-1%29%2Fa%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28%28a%5E2-1%29%2Fa%5E2%29 ALIGN=MIDDLE  ALT=\"b=sqrt%28%28a%5E2-1%29%2Fa%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-sqrt%28%28a%5E2-1%29%2Fa%5E2%29 ALIGN=MIDDLE  ALT=\"b=-sqrt%28%28a%5E2-1%29%2Fa%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the plus/minus\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28a%5E2-1%29%2Fsqrt%28a%5E2%29 ALIGN=MIDDLE  ALT=\"b=sqrt%28a%5E2-1%29%2Fsqrt%28a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-sqrt%28a%5E2-1%29%2Fsqrt%28a%5E2%29 ALIGN=MIDDLE  ALT=\"b=-sqrt%28a%5E2-1%29%2Fsqrt%28a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the square root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28a%5E2-1%29%2Fa ALIGN=MIDDLE  ALT=\"b=sqrt%28a%5E2-1%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-sqrt%28a%5E2-1%29%2Fa ALIGN=MIDDLE  ALT=\"b=-sqrt%28a%5E2-1%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the square roots in the denominator.\r<BR>\n" );
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document.write( "So the solutions are: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%28a%5E2-1%29%2Fa ALIGN=MIDDLE  ALT=\"b=sqrt%28a%5E2-1%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-sqrt%28a%5E2-1%29%2Fa ALIGN=MIDDLE  ALT=\"b=-sqrt%28a%5E2-1%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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