Question

Multimea solutiilor ecuatiei 5[3(4|2x-1|-9)-17]-39=41 S ={....}

Answer 1

5[3(4|2x-1|-9)-17]-39=41 |+39  ⇒ 5[3(4|2x-1|-9)-17] = 80 |:5 ⇒

⇒ 3(4|2x-1|-9)-17 = 16 |+17 ⇒ 3(4|2x-1|-9) = 33 |:3 ⇒ 4|2x-1|-9 =11 |+9

⇒4|2x-1| =20 |:4 ⇒ |2x-1| = 5 ⇒ 2x-1 = ±5 ⇒ x= -2  sau x= 3.