document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26641>Question 26641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please could you help with this equation\r<BR>\n" );
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document.write( "Solve the following equation for x ( 3coshx + 5sinhx = 8)\r<BR>\n" );
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document.write( "I've this far but can't finish the rest\r<BR>\n" );
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document.write( "3coshx + 5sinhx = 8\r<BR>\n" );
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document.write( "3[ex+/-x]/2+5[ex-e-n] = 8\r<BR>\n" );
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document.write( "1.5 [ex+-x]+2.5[ex-e-x] = 8\r<BR>\n" );
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document.write( "1.5ex+1.5ex+2.5ex-2.5e-x = 8\r<BR>\n" );
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document.write( "4ex-1x = 8\r<BR>\n" );
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document.write( "4(ex)2 – 8ex-1 = 0 <BR>\n" );
document.write( "  A       B      C<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 #14482 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=14482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  3coshx + 5sinhx = 8<BR>\n" );
document.write( "FOR SIMPLICITY LET US DENOTE ....E^X=A...SO ...E^(-X)=1/A...HENCE <BR>\n" );
document.write( "COSH X = (A+1/A)/2...AND .....SINH X=(A-1/A)/2...SO WE HAVE <BR>\n" );
document.write( "3(A+1/A)/2+5(A-1/A)/2=8...MULTIPLYING BY 2<BR>\n" );
document.write( "3A+3/A+5A-5/A=16<BR>\n" );
document.write( "8A-2/A=16.....DIVIDING BY 2 WE GET <BR>\n" );
document.write( "4A-1/A-8=0....OR MULTIPLYING BY A...<BR>\n" );
document.write( "4A^2-8A-1=0<BR>\n" );
document.write( "USING QUADRATIC FORMULA..<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "WE GET  ..<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%288+%2B-+sqrt%28+64%2B16+%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"a+=+%288+%2B-+sqrt%28+64%2B16+%29%29%2F%282%2A4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%288+%2B-+sqrt%28+80+%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"a+=+%288+%2B-+sqrt%28+80+%29%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%288+%2B-4%2A+sqrt%28+5+%29%29%2F%288%29+ ALIGN=MIDDLE  ALT=\"a+=+%288+%2B-4%2A+sqrt%28+5+%29%29%2F%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%281+%2B-0.5%2A+sqrt%28+5+%29%29+ ALIGN=MIDDLE  ALT=\"a+=+%281+%2B-0.5%2A+sqrt%28+5+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=E^X...WHERE FROM YOU CAN GET X USING LOGS<BR>\n" );
document.write( "X=LN{1+0.5(0.5)^(0.5)}<BR>\n" );
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