Question

1.Determinati solutiile reale ale ecuatiei:
|17-|2x-11|=12


2. Determinati solutiile reale ale ecuatiei:

4[5(3|2x-7|-13)-17]+33=5

Answer 1

1. | 17-|2x-11| =12
|2x-11| = 12-17
|2x-11|= -5. 2x+11=-5
2x= 6. 2x= -5-11
x= 3. x= -16. S={3;-16}

2. 4[5(3|2x-7|-13)-17]+33=5
4[5(6x-21-13)-17]+33=5
4[5(6x-34)-17]+33=5
4(30x-170-17)+33=5
4(30x-187)+33=5
|30x-187|+33=5
|30x-187|=5-33
=-28. 30x-187=-28
30×= -28+187
= 159/30=5,3

30x+187=-28
=-28-187=4825
x=4825/30= 160,8. S={5,3;160,8}