Question

x-√2x>2√2-2
Va rog imi puteti rezolva ecuatia? Va rog muult

Answer 1

x-x√2>2√2-2
x(1-√2)>2(√2-1)
x(1-√2)>-2(1-√2)
x<-2
x∈(-∞,-2)
Acolo am schimbat semnul pentru ca 1-√2 e mai mic ca 0.....

Answer 2

[tex]\it x-\sqrt2x\ \textgreater \ 2\sqrt2-2 \Leftrightarrow x(1-\sqrt2) \ \textgreater \ 2(\sqrt2-1)|_{\cdot(-1)}\Leftrightarrow \\\;\\ \Leftrightarrow \it x(\sqrt2-1) \ \textless \ -2(\sqrt2-1)|_{:(\sqrt2-1)} \Leftrightarrow x\ \textless \ -2 \\\;\\ \it Multimea\ \it solutiilor\ este:\ \ S= (\it -\infty,\ \ -\it 2)[/tex]