Question

помогите пожалуйста решить​

Answer 1

Пошаговое объяснение:

в последнем я цифру не поняла

Answer 2

1)

$\displaystyle \tt |x|=1,2\\\displaystyle \tt \bold{x_1=1,2}\\\displaystyle \tt \bold{x_2=-1,2}$

2)

$\displaystyle \tt |x|=-15 \: \to \: \boxed{\bold{x\in \oslash}}$ - нет корней

3)

$\displaystyle \tt |x|=0\\\displaystyle \tt \bold{x=0}$

4)

$\displaystyle \tt |x-16|=11\\\displaystyle \tt x-16=11\\\displaystyle \tt x=11+16\\\displaystyle \tt \bold{x_1=27}\\\displaystyle \tt x-16=-11\\\displaystyle \tt x=-11+16\\\displaystyle \tt \bold{x_2=5}$

5)

$\displaystyle \tt 7\cdot|x|-11=3\\\displaystyle \tt 7\cdot|x|=3+11\\\displaystyle \tt 7\cdot|x|=14\\\displaystyle \tt |x|=14\div7\\\displaystyle \tt |x|=2\\\displaystyle \tt \bold{x_1=2}\\\displaystyle \tt \bold{x_2=-2}$

6)

$\displaystyle \tt ||x+5|+8|=1\\\displaystyle \tt |x+5|+8=1\\\displaystyle \tt |x+5|=1-8\\\displaystyle \tt |x+5|=-7$

$\displaystyle \tt \boxed{\bold{x\in \oslash}}$ - нет корней

7)

$\displaystyle \tt |9-|x+2||=4\\\\ \displaystyle \tt 9-|x+2|=4\\\displaystyle \tt -|x+2|=4-9\\\displaystyle \tt -|x+2|=-5\\\displaystyle \tt |x+2|=5\\\displaystyle \tt x+2=5\\\displaystyle \tt x=5-2\\\displaystyle \tt \bold{x_1=3}\\\displaystyle \tt x+2=-5\\\displaystyle \tt x=-5-2\\\displaystyle \tt \bold{x_2=-7}$

$\displaystyle \tt 9-|x+2|=-4\\\displaystyle \tt -|x+2|=-4-9\\\displaystyle \tt -|x+2|=-13\\\displaystyle \tt |x+2|=13\\\displaystyle \tt x+2=13\\\displaystyle \tt x=13-2\\\displaystyle \tt \bold{x_3=11}\\\displaystyle \tt x+2=-13\\\displaystyle \tt x=-13-2\\\displaystyle \tt \bold{x_4=-15}$