What is the general solution for 6cosh^2(x)+4sinh(x)=7 ?

The general solution for 6cosh^2(x)+4sinh(x)=7 is x=ln(1.21230…),x=ln(0.45880…)

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6cosh^2(x)+4sinh(x)=7

6 cosh^{2} (x) + 4 sinh (x) = 7

x = ln (1.21230 \dots), x = ln (0.45880 \dots)

Solution steps

6 cosh^{2} (x) + 4 sinh (x) = 7

Rewrite using trig identities

6 (\frac{e ^{x} + e ^{- x}}{2})^{2} + 4 \cdot \frac{e ^{x} - e ^{- x}}{2} = 7

6 (\frac{e ^{x} + e ^{- x}}{2})^{2} + 4 \cdot \frac{e ^{x} - e ^{- x}}{2} = 7 : x = ln (1.21230 \dots), x = ln (0.45880 \dots)

x = ln (1.21230 \dots), x = ln (0.45880 \dots)

53 tan (x) + 3 = 83 tan (x)

cos^{2} (x) = - 0.5

cos (x) = \frac{1.5}{4.272}

\frac{π}{12} = arcsin (\frac{x}{2})

6 sin^{2} (x) = 0

What is the general solution for 6cosh^2(x)+4sinh(x)=7 ?
The general solution for 6cosh^2(x)+4sinh(x)=7 is x=ln(1.21230…),x=ln(0.45880…)