Răspuns:
Explicație pas cu pas:
1.
(1 + i)^2 = 1 + 2i - 1 = 2i
(1 - i)^2 = 1 - 2i - 1 = -2i
(1 + i)^10 = [(1 + i)^2]^5 = (2i)^5 = 2^5*i^5 = 32*i
(1 - i)^10 = [(1 - i)^2]^5 = (-2i)^5 = -2^5*i^5 = -32*i
(1 + i)^10 + (1 - i)^10 = 32i - 32i = 0
____________________
2.
f(x) = 6x - 3x^2
f(√2) = 6√2 - 3*2 = 6√2 - 6
f(√3) = 6√3 - 9
f(2) = 12 - 3*4 = 12 - 12 = 0
6√2 > 6 ridicam la patrat
72 > 36 fals, deci 6√2 < 6, deci f(√2) < 0
6√3 > 9 ridicam la patrat
108 > 91 adevarat, deci f(√3) > 0
In ordine crescatoare
f(√2) ; f(2); f(√3)
