Question

Rezolvati inecuatia (radical din 5 -2)x > radical din 20 -4, x apartine lui R

Answer 1

√(5-2)x>√(20-4)
√3x>√16
√3x>4
x>4 supra √3 , rationalizam si prmim 4√3 supra √3*√3 ,adica 4√3 supra 3
S:(4√3supra3 ; +∞) ,x apartine lui R.
daca corect am inteles conditia,asa ar trebui sa fie :)

Answer 2

 [tex](\sqrt5-2)x\ \textgreater \ \sqrt{20}-4\;\;unde\;\;x\in\mathbb{R}\\ (\sqrt5-2)x\ \textgreater \ \sqrt{4*5}-4\\ (\sqrt5-2)x\ \textgreater \ 2\sqrt5-4\\ x\,\ \textgreater \ \,\frac{2(\sqrt5\not-2)}{\sqrt5\not-2}=2\,\Rightarrow\;x\in(2\,;\,+\infty)[/tex]