trig. equation

\hspace{-16}$Find all Integer Roots of the equation\\\\ $\mathbf{\cos\left(\frac{\pi}{10}\left(3x-\sqrt{9x^2+80x-40}\right)\right)=1}$

3 Answers

71
Vivek @ Born this Way ·

Writing right side as cos 2nπ n ε I , then Solving,

I'm getting x = 2 n + 15 n

So for any Integer n, How is there any Integral Solution to above?

Sorry If I', wrong!

1
haroldo60 martins ·

71
Vivek @ Born this Way ·

harold. It is not correct I think.

The more general solution from Wolfram.

The method is still the same as I said earlier My workings might have been wrong. Because only that would infuse ' n ' into equation.

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