Răspuns:
Explicație pas cu pas:
3|x+1|+5=|x+1|+11
notezi |x+1| = a
3a + 5 = a + 11
3a - a = 11 - 5
2a = 6
a = 3
|x+1| = 3
x + 1 = 3 rezulta x = 3 - 1 = 2
x + 1 = -3 rezulta x = -3 -1 = -4
Solutia x = {-4; 2}
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-4|2x-1|+2=|2x-1|-7
|2x-1| = a
-4a + 2 = a - 7
4a + a = 2 + 7
5a = 9
a = 9/5
|2x-1| = 9/5
2x - 1 = 9/5
2x = 1 + 9/5 = 5/5 + 9/5 = 14/5
x = 14/5 : 2 = 7/5
2x-1 = -9/5
2x = 1 - 9/5 = 5/5 - 9/5 = -4/5
x = -4/5 : 2 = -2/5
Solutia x = {-2/5; 7/5}
