Question

ajutati maaaa va rog​

Answer 1

Explicație pas cu pas:

$| |x + 12| - 9| = 6$

1)

$|x + 12| - 9 = 6 \\ |x + 12| = 6 + 9$

$|x + 12| = 15$

a)

$x + 12 = 15 \\ x = 15 - 12 \\ = > x = 3$

b)

$x + 12 = - 15 \\ x = - 15 - 12 \\ = > x = - 27$

2)

$|x + 12| - 9 = - 6 \\ |x + 12| = - 6 + 9$

$|x + 12| = 3$

a)

$x + 12 = 3 \\ x = 3 - 12 \\ = > x = - 9$

b)

$x + 12 = - 3 \\ x = - 3 - 12 \\ = > x = - 15$

$= > x\in\{ - 27; - 15; - 9; 3\}$