Question

Решите уравнение х³=х²+2х

Answer 1

$x^{3} = x^{2} +2x \\ x^{3} - x^{2} -2x = 0 \\ x( x^{2} - x - 2) = 0 \\ x_{1} = 0 \\ \\ x^{2} - x -2 = 0 \\ D= 1 - 4* (-2) = 9 \\ x_{2} = \frac{1 - 3}{2} = -1 \\ x_{3} = \frac{-1 +3}{2} =1$