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Popular >

2sinh(2x)-10sinh(x)=0

Solución

2 sinh (2 x) - 10 sinh (x) = 0

Solución

x = 0, x = ln (\frac{5 + 21}{2}), x = ln (\frac{5 - 21}{2})

+1

Pasos de solución

2 sinh (2 x) - 10 sinh (x) = 0

Re-escribir usando identidades trigonométricas

2 \cdot \frac{e ^{2 x} - e ^{- 2 x}}{2} - 10 \cdot \frac{e ^{x} - e ^{- x}}{2} = 0

2 \cdot \frac{e ^{2 x} - e ^{- 2 x}}{2} - 10 \cdot \frac{e ^{x} - e ^{- x}}{2} = 0 : x = 0, x = ln (\frac{5 + 21}{2}), x = ln (\frac{5 - 21}{2})

x = 0, x = ln (\frac{5 + 21}{2}), x = ln (\frac{5 - 21}{2})

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