Question

1)Write any 2 solutions of the polynomial equation 6x6 -35x5+56x4 -56x2+35x-6=0

Answer 1

Answer:

$x_{12}$ = ± 1

Step-by-step explanation:

x = - 1

6(- 1)^6 - 35(- 1)^5 + 56(- 1)^4 - 56(- 1)^2 + 35(- 1) - 6 =

6 + 35 + 56 - 56 - 35 - 6 = 0

x = 1

6(1)^6 - 35(1)^5 + 56(1)^4 - 56(1)^2 + 35(1) - 6 =

6 - 35 + 56 - 56 + 35 - 6 = 0

There are few more solutions: $x_{345}$ = 0.5, 2, 3