【tan²α+4tanα+4】/(tan²α+1）=5/2咋化简?

【tan²α+4tanα+4】/(tan²α+1）=5/2咋化简?
【tan²α+4tanα+4】/(tan²α+1）=5/2咋化简?

【tan²α+4tanα+4】/(tan²α+1）=5/2咋化简?
【tan²α+4tanα+4】/(tan²α+1）=5/2
2tan²α+8tanα+8=5tan²α+5
3tan²α-8tanα-3=0
(3tanα+1)(tanα-3)=0
tanα=-1/3或tanα=3