1) (0,5-2 х) (2 х+0,5) + (0,7+х) 2=0,92-0,1 х 2) х2-х+3/4=0 3) - 0,04+х2=0 4) 1/6 х2-х+3/4=0 5) х2+3,2 х-9=0

Решим уравнения:

1) (0,5 - 2 * х) * (2 * х + 0,5) + (0,7 + х) ^2 = 0,92 - 0,1 * х;

(0.5) ^2 - (2 * x) ^2 + (0.7) ^2 + 2 * 0.7 * x + x^2 = 0.92 - 0.1 * x;

0.25 - 4 * x^2 + 0.49 + 1.4 * x + x^2 - 0.92 + 0.1 * x = 0;

-3 * x^2 + 1.5 * x - 0.18 = 0;

x = 0.2;

x = 0.3.

2) х^2 - х + 3/4 = 0;

x^2 - 1 + 0.75 = 0;

D = b ^2 - 4 * a * c = (-1) ^2 - 4 * 1 * 0.75 = 1 - 3 = - 2;

Уравнение не имеет корней.

3) - 0,04 + х^2 = 0;

x^2 - 0.04 = 0;

(x - 0.2) * (x + 0.2) = 0;

x = 0.2;

x = - 0.2.

4) 1/6 * х^2 - х + 3/4 = 0;

D = 1 - 4 * 1/6 * 3/4 = 1 - 2/3 * 3/4 = 1 - 1/2 = 1/2;

x1 = (1 + √ (1/2)) / (1/6) = 6 + 6 * 1/√2;

x2 = 6 - 6 * 1/√2.

5) х^2 + 3,2 * х - 9 = 0;

D = b ^2 - 4 * a * c = (3.2) ^2 - 4 * 1 * (-9) = 10.24 + 36 = 46.24;

x ₁ = (-3.2 - √ 46.24) / (2 * 1) = (-3.2 - 6.8) / 2 = - 10/2 = - 5;

x ₂ = (-3.2 + √ 46.24) / (2 * 1) = (-3.2 + 6.8) / 2 = 3.6/2 = 1.8.