Решите уравнение: (х+1)(х+3)(х+14)=(х+2)(х+5)(х+11)

Question

Решите уравнение:
(х+1)(х+3)(х+14)=(х+2)(х+5)(х+11)

Answer 1

(х+1)(х+3)(х+14)=(х+2)(х+5)(х+11);

(x^2 + 4x + 3)(x+14) = (x^2+7x+10)(x+11);

(x^3 + 4x^2 + 3x + 14x^2 + 56x + 42) = (x^3 + 7x^2 + 10x + 11x^2 + 77x + 110)

x^3 + 18x^2 + 59x + 42 = x^3 + 18x^2 + 87x + 110;

59x - 87x = 110 - 42;

-28x = 68;

x = -68/28 = -177 = -2 3/4;