Question

how can i solve this eq
3sech^2 x + 4tanh x = -1

Answer 1

sec h^2 x=1-tan h^2x

Answer 2

yes, use that, and let tanh(x)=a...

Answer 3

i think i get the idea, let me try first, thank you

Answer 4

And then, you can use these two rules

\(\color{#000000 }{ \displaystyle \sinh(x)=\frac{e^x-e^{-x}}{2} }\)

\(\color{#000000 }{ \displaystyle \cosh(x)=\frac{e^x+e^{-x}}{2} }\)

to solve for x.

Answer 5

(You can extract other hyperbolic functions from these)

Answer 6

i got the answer correctly. thank you so much to both of you

Answer 7

You Welcome!