2(1-1,5х)+2(х-2)^2=1
2 - 3x + 2(x² - 4x + 4) = 1
2 - 3x + 2x² - 8x + 8 = 1
2x² - 11x + 9 = 0
D = b²- 4ac
D = (-11)² - 4 * 2 * 9 = 121 - 72 = 49 > 0 ⇒ уравнение имеет 2 корня
√D = 7
-b + √D
x₁ = -----------------
2a
11 + 7
x₁ = --------------- = 18 / 4 = 4,5
2 * 2
-b - √D
x₂ = -----------------
2a
11 - 7
x₂ = --------------- = 4 / 4 = 1
2 * 2