2/х + 10/(х^2 - 2 * х) = (1 + 2 * x)/(x - 2).
2/х + 10/(х * (х – 2)) - (1 + 2 * x)/(x - 2) = 0.
(2 * (x – 2) + 10 – x * (1 + 2 * x))/(x * (x – 2))= 0.
2 * x – 4 + 10 – x – 2 * x^2 = 0; x ≠ 0, x ≠ 2.
2 * x^2 – x – 6 = 0.
D = 1 - 4 * 2 * (- 6) = 49 = 7^2.
X1,2 = (1 ± √49)/(2 * 2) = (1 ± 7)/4.
X1 = (1 + 7)/4 = 8/4 = 2 — не является корнем, так как x ≠ 2.
X2 = (1 – 7)/4 = - 6/4 = - 3/2.