Question

Rezolvati inecuatia x(1 - Radical din 2 ) mai mare sau egal 4 -2radical din 8 .... x apartine N

Answer 1

[tex]x(1-\sqrt2) \geq 4-2\sqrt{8}\\ x(1-\sqrt2) \geq 4-4\sqrt2\\ x(1-\sqrt2) \geq 4(1-\sqrt2)\\ Acum\ ni\ se\ schimba\ semnul(\ pentru\ ca\ 1-\sqrt2\ \textless \ 0):\\ x \leq 4\\ S:x\in [4,-\infty) [/tex]