Решите уравнение : 2x^4+5x^3-5x-2=0

Question

Решите уравнение : 2x^4+5x^3-5x-2=0

Answer 1

2x^4 + 5x³ - 5x -2 = 0
2(x⁴-1) + 5x(x²-1) = 0
2(x²-1)(x²+1) + 5x(x²-1) = 0
(2(x²+1) + 5x)(x²-1) = 0
(2x² + 5x + 2)(x²-1) = 0
x² - 1 = 0 x = 1; x = -1
2x²+5x +2 = 0
x1 = -2; x2 = 0,5