-4x^2 + 9x - 1 = (x + 1)^2
-4x^2 + 9x - 1 = x^2 + 2x + 1
-4x^2 + 9x - 1 - x^2 - 2x - 1 = 0
-5x^2 + 7x - 2 = 0 |:(-1)
5x^2 - 7x + 2 = 0;
D = b^2 - 4 × a × c = (-7)^2 - 4 × 5 × 2 = 49 - 40 = 9
x1 = -b + корень(9) / 2 × a = 7 + 3 / 2 × 5 = 1
x2 = -b - корень(9) / 2 × a = 7 - 3 / 2 × 5 = 4 / 10 = 2 / 5 = 0,4
Ответ: 0,4; 1