Question

х^5+5x^3-6x^2=0
решите пожалуйста

Answer 1

${x}^{5} + 5 {x}^{3} - 6 {x}^{2} = 0 \\ {x}^{2} ( {x}^{3} + 5x - 6) = 0$

${x}^{2} = 0$

Или

${x}^{3} + 5x - 6 = 0$

${x}^{2} = 0 \\ x = 0$

${x}^{3} + 5x - 6 = 0 \\ {x}^{3} - {x}^{2} + {x}^{2} - x + 6x - 6 = 0 \\ {x}^{2} (x - 1) + x(x - 1) +6 (x - 1) = 0 \\ (x - 1)( {x}^{2} + x + 6 ) = 0$

$x = 1$

Или

${x}^{2} + x + 6 = 0$

Нет решений

Ответ: 0 и 1