Question

Розвʼяжіть рівняння:

1) 5х3 - 180х = 0;
2) x3 - 2х2+х=0.

Answer 1

Ответ:

1

$5 {x}^{3} - 180x = 0 \\ 5x( {x}^{2} - 36) = 0 \\ 5x(x - 6)(x + 6) = 0 \\ \\ x1 = 0 \\ x2 = 6 \\ x3 = - 6$

2

${x}^{3} - 2 {x}^{2} + x = 0 \\ x( {x}^{2} - 2x + 1) = 0 \\ x {(x - 1)}^{2} = 0 \\ x1 = 0 \\ x2 = x3 = 1$