Решите уравнение подробно. (х² - х - 2)(х + 2) = 0

[latex](x^2 - x - 2)(x + 2) = 0[/latex] [latex]x^2-x-2=0[/latex] [latex]D=1-4*1(-2)=1+8=9[/latex] [latex] x_{1,2} = \frac{1+ \sqrt{9} }{2} [/latex] [latex] x_{1} = \frac{1+3}{2} = \frac{4}{2} =2[/latex] [latex] x_{2} = \frac{1-3}{2} = \frac{-2}{2} =-1[/latex] [latex](x+2)=0 [/latex] [latex] x_{3} =-2[/latex] Ответ:[latex] x_{1} =2////// x_{2} =-1////// x_{3} =-2[/latex]