Rozwiąż równanie. a) 3+|x-6|=10 b) 7-2|x+1|=1 c) |3-2x|=7 d) |2x+6| + |3x+9|=15
Rozwiąż równanie.
a) 3+|x-6|=10
b) 7-2|x+1|=1
c) |3-2x|=7
d) |2x+6| + |3x+9|=15
3 + |x - 6| = 10 |x - 6| = 10 - 3 |x - 6| = 7 x - 6 = 7 ∨ x - 6 = -7 x = 13 ∨ x = -1 7 - 2|x + 1| = 1 -2|x + 1| = 1 - 7 -2|x + 1| = -6 //:(-2) |x + 1| = 3 x + 1 = 3 ∨ x + 1 = -3 x = 2 ∨ x = -4 |3 - 2x| = 7 3 - 2x = 7 ∨ 3 - 2x = -7 -2x = 4//:(-2) ∨ -2x = -10//:(-2) x = -2 ∨ x = 5 |2x + 6| + |3x + 9| = 15 2|x + 3| + 3|x + 3| = 15 5|x + 3| = 15//:5 |x + 3| = 3 x + 3 = 3 ∨ x + 3 = -3 x = 0 ∨ x = -6