document.write( "Question 1039591: Solve the following exponential equation.
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document.write( "e^x+e^-x=5\r
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document.write( "The solution(s) is/are ? \n" );
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Algebra.Com's Answer #654354 by Alan3354(69443) You can put this solution on YOUR website! e^x+e^-x=5 \n" ); document.write( "---------- \n" ); document.write( "Sub u for e^X \n" ); document.write( "--- \n" ); document.write( "U + 1/U = 5 \n" ); document.write( "u^2 + 1 = 5u \n" ); document.write( "u^2 - 5u + 1 = 0 \n" ); document.write( "--- \n" ); document.write( "Solve the quadratic for u, then sub e^x for u. \n" ); document.write( "----------------- \n" ); document.write( "PS \n" ); document.write( "(e^x + e^-x)/2 = cosh(x) \n" ); document.write( "e^x + e^-x = 2.5 \n" ); document.write( "x = cosh-1(2.5) \n" ); document.write( "x =~ 1.566799\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |