( -5x)+10(-5x+1)+14=0 Найдите удобную замену переменной и решите уравнение.

(x - 5x) + 10(x - 5x + 1) + 14 = 0 Замена x - 5x = t t + 10(t + 1) + 14 = 0 t + 10t + 10 + 14 = 0 t + 10t + 24 = 0 D = 5 - 24 = 1 = 1 - упрощенный дискриминант t = 5 + 1 = 6 t = 5 - 1 = 4 Совокупность уравнений: [ x - 5x = 6 [ x - 5x = 4 [ x - 5x - 6 = 0 [ x - 5x - 4 = 0 1) x - 5x - 6 = 0 D = 25 - 4 · 6 = 1 = 1 x = (5 + 1) / 2 = 3 x = (5 - 1) / 2 = 2 2) x - 5x - 4 = 0 D = 25 - 4 · 4 = 9 = 3 x = (5 + 3) / 2 = 4 x = (5 - 3) / 2 = 1 Ответ: 1; 2; 3; 4