Question

Rezolvati in multimea numerelor rationale ecuatia 2*[(2-1,5)*2-0,(3)]=0,5X

Answer 1

2*[(2-1,5)*2-0,(3)]=0,5x ⇒ 2*(0,5*2- 1/3) = 0,5x ⇒ 2*(1 - 1/3) = 0,5x⇒

⇒ 2*(2/3) = (1/2)x ⇒ 4/3 = (1/2)x ⇒ x = (4/3)·(2/1) ⇒ x = 8/3

Answer 2

0,5 x = 2 · [ ( 2 - 1, 5 ) · 2 - 0,( 3) ]

0,5 x = 2 · [ ( 20 / 10 - 15 / 10 ) · 2 - 3 / 9 ]

5 x / 10 = 2 · ( 5 · 2 / 10 - 1 / 3 )

x / 2 = 2 · ( 10 / 10 - 1 / 3 )

x / 2 = 2 · ( 1 - 1 / 3 )

x = 4 ( 3 / 3 - 1 / 3 )

x = 4 · 2 / 3

x = 8 / 3 = 2 intregi si 2 / 3 = 2,(6)