Question

Rezolvați inecuația:
b) x√2 -1 < √8 + |-1| ​.

Urgentt!!​

Answer 1

$\it x\sqrt2-1=\sqrt8+|-1| \Rightarrow x\sqrt2-1=\sqrt{4\cdot2}+1 \Rightarrow x\sqrt2-1=2\sqrt2+1|_{+1} \Rightarrow \\ \\ \Rightarrow \ \ x\sqrt2=2\sqrt2+2 \Rightarrow x\sqrt2=2\sqrt2+\sqrt2\cdot\sqrt2|_{:\sqrt2} \ \ \Rightarrow \ \ x=2+\sqrt2$