Question

I've been stuck at this question for three days, so any help would be appreciated. Show that equation 3sech²x + 7tanhx = 5 can be written as 3tanh²x - 7tanhx + 2 = 0.

Answer 1

To show that the equation 3sech²x + 7tanhx = 5 can be written as 3tanh²x - 7tanhx + 2 = 0, rearrange the equation and simplify.

Step-by-step explanation:

To show that the equation 3sech²x + 7tanhx = 5 can be written as 3tanh²x - 7tanhx + 2 = 0, we need to rearrange the equation and simplify it.

1. Start with the given equation: 3sech²x + 7tanhx = 5
2. Use the identity sech²x = 1 - tanh²x to replace sech²x in the equation.
3. Substitute 1 - tanh²x for sech²x in the equation and simplify.
4. You should end up with the equation 3tanh²x - 7tanhx + 2 = 0