document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033592>Question 1033592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the hyperbola that satisfies the given conditions. \r<BR>\n" );
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document.write( "Foci (0,±3 square root 2), length of conjugate axis is 2<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649037 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length of conjugate axis = 2b = 2 ==> b = 1.\r<BR>\n" );
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document.write( "The hyperbola would take the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2Fa%5E2+-+x%5E2%2Fb%5E2+=+1 ALIGN=MIDDLE  ALT=\"y%5E2%2Fa%5E2+-+x%5E2%2Fb%5E2+=+1\"   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=y%5E2%2Fa%5E2+-+x%5E2%2F1%5E2+=+1 ALIGN=MIDDLE  ALT=\"y%5E2%2Fa%5E2+-+x%5E2%2F1%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2Fa%5E2+-+x%5E2+=+1 ALIGN=MIDDLE  ALT=\"y%5E2%2Fa%5E2+-+x%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For a hyperbola, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+a%5E2+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+a%5E2+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Asqrt%282%29%29%5E2+=+a%5E2+%2B1 ALIGN=MIDDLE  ALT=\"%283%2Asqrt%282%29%29%5E2+=+a%5E2+%2B1\"   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=18+=+a%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"18+=+a%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=+17 ALIGN=MIDDLE  ALT=\"a%5E2+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore the equation of the hyperbola is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F17+-+x%5E2+=+1 ALIGN=MIDDLE  ALT=\"y%5E2%2F17+-+x%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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