Question

(x^2-x-6)(x-1)^2<=0.
Метод інтервалів​

Answer 1

$( {x}^{2} - x - 6) {(x - 1)}^{2} \leqslant 0 \\ ( {x}^{2} - x - 6) {(x - 1)}^{2} = 0 \\ 1) \: {x}^{2} - x - 6 = 0 \\ x_{1} + x_{2} = 1 \\ x_{1} \times x_{2} = - 6 \\ x_{1} = - 2 \: \: \: \: \: \: \: \: \: x_{2} = 3 \\ 2) \: {(x - 1)}^{2} = 0 \\ x - 1 = 0 \\ x_{3} = 1$

+ - - +

----------•-----------•-----------•-------------> x

-2. 1. 3.

x€[-2; 3].