(x^2 - 7x + 3)^2 + 10(x^2 - 7x + 3) + 21 = 0
Пусть x^2 - 7x + 3 = t
t^2 + 10t + 21 = 0
D/4 = 25 - 21 = 4
t1 = -5 + 2 = -3
t2 = -5 - 2 = -7
Выполним обратную замену:
x^2 - 7x + 3 = -3 или x^2 - 7x + 3 = -7
x^2 - 7x + 6 = 0 x^2 - 7x + 10 = 0
D = 49 - 24 = 25 D = 49 - 40 = 9
x1 = (7+5)/2 = 6 x3 = (7+3)/2 = 5
x2 = (7-5)/2 = 1 x4 = (7-3)/2 = 2
Ответ: 1;2;5;6.