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64cosh^4(x)-64cosh^2(x)-9=0

Solución

64 cosh^{4} (x) - 64 cosh^{2} (x) - 9 = 0

Solución

x = \frac{1}{2} ln (2), x = - \frac{1}{2} ln (2)

+1

Pasos de solución

64 cosh^{4} (x) - 64 cosh^{2} (x) - 9 = 0

Re-escribir usando identidades trigonométricas

64 (\frac{e ^{x} + e ^{- x}}{2})^{4} - 64 (\frac{e ^{x} + e ^{- x}}{2})^{2} - 9 = 0

64 (\frac{e ^{x} + e ^{- x}}{2})^{4} - 64 (\frac{e ^{x} + e ^{- x}}{2})^{2} - 9 = 0 : x = \frac{1}{2} ln (2), x = - \frac{1}{2} ln (2)

x = \frac{1}{2} ln (2), x = - \frac{1}{2} ln (2)

Ejemplos populares

1 + cos (θ) = 1

tan (2 θ) = 0.4

csc(θ/2)=sin(θ/2)

csc (\frac{θ}{2}) = sin (\frac{θ}{2})

sin(3x)=-1,0<= x<= 2pi

sin (3 x) = - 1, 0 \leq x \leq 2 π

sin (θ) = 0.25