Решите неравенство 2х²-4х+1≥0

Question

Решите неравенство
2х²-4х+1≥0

Answer 1

2x²-4x+1=0
D=16-8=8
x₁=(4-√8)/4=(4-2√2)/4=1-0.5√2
x₂=1+0.5√2
   +                              -                                +
-------- 1-0.5√2 ----------------- 1+0.5√2 --------------
\\\\\\\\\\\\\\\\\                                      \\\\\\\\\\\\\\\\\\\\\\\\
x∈(-∞; 1-0.5√2]U[1+0.5√2; +∞)