Solve-for-real-numbers-1-1-tan-4-x-1-10-2-1-3-tan-2-x-

Question Number 158383 by HongKing last updated on 03/Nov/21

Solve for real numbers :

\frac{1}{1 + \tan^{4} (x)} + \frac{1}{10} = \frac{2}{1 + 3 \tan^{2} (x)}

Answered by MJS_new last updated on 03/Nov/21

easy :

\frac{1}{1 + t^{4}} + \frac{1}{10} = \frac{2}{1 + 3 t^{2}}

t^{6} - \frac{19}{3} t^{4} + 11 t^{2} - 3 = 0

{(t^{2} - 3)}^{2} (t^{2} - \frac{1}{3}) = 0

now finish it

Commented by HongKing last updated on 04/Nov/21

thank you dear S er cool