Решите уровнение: 16t-16t2=t3-t4

Question

Решите уровнение:
16t-16t2=t3-t4

Answer 1

16t-16t² =t³-t^4
t^4-t³-16t²+16t=0
t³(t-1) -16t(t-1)=0
(t-1)*(t³-16t)=0
t*(t-1)*(t²-16)=0
1)   t1=0
2)   t-1=0
         t2=1
2) t²-16=0
     t²=16   
       t3=4   t4=-4

Answer 2

T4-t3-16t+16t=0
t3(t-1)-16t(t-1)=0
(t-1)(t3-16t)=0
(t-1)t(t2-16)=0
t(t-1)(t-4)(t+4)=0
t1=0
t2=1
t3=4
t4=-4