# How do you solve tan(x)^2=2tan(x)?

Aug 13, 2015

General solution:
$x = n \pi \text{ or " x = npi + 1.11 "(3sf)", " } n \in \mathbb{Z}$

#### Explanation:

If the question meant
${\tan}^{2} x = 2 \tan x$

Re-arrange above equation:
$\tan x \left(\tan x - 2\right) = 0$
[Do not divide the initial equation by $\tan x$ as you will be removing a set of solutions. This is a common mistake.]

$\tan x = 0 \text{ or } \tan x = 2$

General solution:
$x = n \pi \text{ or " x = npi + 1.11 "(3sf)", " } n \in \mathbb{Z}$