Question

ajuutooor!!va rog muult! am nevoie doar de subpunctul b)​

Answer 1

Răspuns:

a = 2

Explicație pas cu pas:

$E(x) = (x - 3)^{2}$

$n = E(2 + \sqrt{3}) + a\sqrt{3} \ , n \in \mathbb{N}$

$n = (2 + \sqrt{3} - 3)^{2} + a\sqrt{3} = (\sqrt{3} - 1)^{2} + a\sqrt{3} \\ = 3 - 2 \sqrt{3} + 1 + a\sqrt{3} = \bf 4 + (a - 2) \sqrt{3}$

$a \in \mathbb{N} \implies a - 2 = 0 \\ \implies \bf a = 2$