Question

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

Answer 1

$(x^2 - x - 2)(x + 2) = 0$

$x^2-x-2=0$

$D=1-4*1(-2)=1+8=9$

$x_{1,2} = \frac{1+ \sqrt{9} }{2}$

$x_{1} = \frac{1+3}{2} = \frac{4}{2} =2$

$x_{2} = \frac{1-3}{2} = \frac{-2}{2} =-1$

$(x+2)=0$

$x_{3} =-2$

ответ:$x_{1} =2////// x_{2} =-1////// x_{3} =-2$