document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949608>Question 949608</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Basic qustion here, say I have: \r<BR>\n" );
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document.write( "(16.5)²/33² + (12)²/b² = 1 <BR>\n" );
document.write( "144/b² = 1 - (272.25/1089) = 816.75/1089. <BR>\n" );
document.write( "b² = 144 / (816.75/1089) = 192 \r<BR>\n" );
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document.write( "my question is what happened between 144/b² to b² I thought if you have a problem like a fraction to get the 144 out I would think I'd have to multiply it out rather it looks like something else happened, could you explain what happened here? \r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579769 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=579769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Basic qustion here, say I have: \r<BR>\n" );
document.write( "\n" );
document.write( "(16.5)²/33² + (12)²/b² = 1 <BR>\n" );
document.write( "144/b² = 1 - (272.25/1089) = 816.75/1089. <BR>\n" );
document.write( "b² = 144 / (816.75/1089) = 192 \r<BR>\n" );
document.write( "\n" );
document.write( "my question is what happened between 144/b² to b² I thought if you have a problem like a fraction to get the 144 out I would think I'd have to multiply it out rather it looks like something else happened, could you explain what happened here? \r<BR>\n" );
document.write( "\n" );
document.write( "Thanks<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">Let's pick it up from here:<BR>\n" );
document.write( "144/b² = 1 - (272.25/1089) = 816.75/1089. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2Fb%5E2+=+816.75%2F1089 ALIGN=MIDDLE  ALT=\"144%2Fb%5E2+=+816.75%2F1089\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2Fb%5E2+=+.75 ALIGN=MIDDLE  ALT=\"144%2Fb%5E2+=+.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.75b%5E2+=+144 ALIGN=MIDDLE  ALT=\".75b%5E2+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" > --------- Cross-multiplying <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+=+144%2F.75 ALIGN=MIDDLE  ALT=\"b%5E2+=+144%2F.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+sqrt%28144%2F.75%29 ALIGN=MIDDLE  ALT=\"b+=+sqrt%28144%2F.75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or b = 192 </SPAN>\n" );
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