find the number of solutions in
Why don’t you take some time to learn to post symbols?
It really is so easy. And it makes most of us more willing to find out how to help.
This subforum will help you with the code. Once you begin, you quickly learn the code.
LaTeX Help
[TEX](5+2\sqrt{6})^{x^2-3}+(5-2\sqrt{6})^{x^2-3}=10 [/TEX] gives
If you click on the “go advanced tab” you should see on the tool-bar. That gives the [TEX]..[/TEX] wrap. Your LaTeX code goes between them.
Now it should be perfectly clear the two solutions are
Hello, sciencepal!
We note that: .
The equation becomes: .
We further note that: .
The equation becomes: .
Multiply by
. .
. .
Let
We have: .
Quadratic Formula: .
Back-substitute: .
Take logs: .
. .
. .
The gives us 2 solutions.
And the gives us solutions.