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# Hyperbolics watch

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1. 10cosh x + 2sinh x = 11

Im just really having problems getting a quadratic to solve!

Thanx
2. (Original post by Syncman)
10cosh x + 2sinh x = 11

Im just really having problems getting a quadratic to solve!

Thanx
5(e^x+e^-x)+(e^x-e^-x)=11
6e^x+4e^-x=11
6e^2x+4=11e^x
6e^2x-11e^x+4=0
6(e^x)^2 - 11(e^x) + 4 = 0
e^x=11+-5/12
e^x=0.5 or 4/3.
x=ln(1/2) or ln(4/3)
3. Gaz.... ur a god! LoL. I had never thought to times through by e^x!.
Thanx alot
4. (Original post by Syncman)
Gaz.... ur a god! LoL. I had never thought to times through by e^x!.
Thanx alot
Heh, np. I'm not that good - I just remembered the method from the derivation of arsinhx and arcoshx.

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