(x-2)^4 + (x-3)^4 = 1

(x - 2) ^ 4 + (x - 3) ^ 4 = 1;
(x – 2) ^ 2 * (x – 2) ^ 2 + (x – 3) ^ 2 * (x – 3) ^ 2 = 1;
(x ^ 2 – 4 * x + 4) * (x ^ 2 – 4 * x + 4) + (x ^ 2 – 6 * x + 9) * (x ^ 2 – 6 * x + 9) = 1;
(x ^ 4 – 4 * x ^ 3 + 4 * x ^ 2 – 4 * x ^ 3 + 16 * x ^ 2 – 16 * x + 4 * x ^ 2 – 16 * x + 16) + (x ^ 4 – 6 * x ^ 3 + 9 * x ^ 2 – 6 * x ^ 3 + 36 * x ^ 2 - 54 * x + 9 * x ^ 2 – 54 * x + 81) = 1;
(x ^ 4 – 8 * x ^ 3 + 24 * x ^ 2 – 32 * x + 16) + (x ^ 4 – 12 * x ^ 3 + 54 * x ^ 2 - 108 * x + 81)= 1;
2 * x ^ 4 – 20 * x ^ 3 + 78 * x ^ 2 – 140 * x + 97 = 1;
2 * x ^ 4 – 20 * x ^ 3 + 78 * x ^ 2 – 140 * x + 97 - 1 = 0;
2 * x ^ 4 – 20 * x ^ 3 + 78 * x ^ 2 – 140 * x + 96= 0;
x ^ 4 – 10 * x ^ 3 + 39 * x ^ 2 – 70 * x + 48 = 0;
Найдем корни уравнения:
х= 3;
x = 2;
x = 2,5 + 1,3 * i;
x = 2,5 - 1,3 * i.