√2х-1=3х-2 Иррациональное уравнение

√2x - 1 = 3x - 2
2x - 1 = ( 3x - 2)²
2x - 1 = 9x² - 12x + 4
2x - 1 - 9x² + 12x - 4 =0
- 9x² + 14x - 5 =0
9x² - 14x + 5 = 0
D = b² - 4ac = (-14)² - 4 × 9 × 5 = 196 - 180 = 16 = 4²
x1 = ( 14 + 4) / 18 = 1
x2 = ( 14 - 4) / 18 = 10 / 18 = 5/9