(х-1)^2< корень 2(х-1)

Question

(х-1)^2< корень 2(х-1)

Answer 1

(x-1)²<√2(x-1)<br>x≥1
x²-2x+1<√2x-2<br>√2x-2>x²-2x+1
-2x+1≥0
-2x+1<0<br>x∈(1; ∛2 +1) - ответ
х≥1