||X-3|-3|=3__________. Created by lite55. matematika-ru

||X-3|-3|=3_________

prlkomn

$| |x - 3| - 3| = 3 \\ |x - 3| - 3 = 3 \\ |x - 3| - 3 = - 3 \\ x = 9 \\ x = - 3 \\ x = 3$

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evvoronina1 ||X-3|-3|=3
Рассмотрим различные случаи:

А. (|х - 3| - 3) = 3:

1) ((х - 3) - 3) = 3
х - 3 - 3 = 3
х = 3 + 6
х1 = 9

2) (-(х - 3) - 3) = 3
-х + 3 - 3 = 3
-х = 3
х2 = -3

Б. -(|х - 3| - 3) = 3

3) -((х - 3) - 3) = 3
-(х - 3 - 3) = 3
-(х - 6) = 3
-х + 6 = 3
-х = 3 - 6
-х = -3
х3 = 3

4) -(-(х - 3) - 3) = 3
-(-х + 3 - 3) = 3
х4 = 3

Ответ: 9; -3; 3

__________

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