Question

Sa se determine x€Q:(x-1/2)•8/3=4/6
DAU COROANA!

Answer 1

Inmultim paranteza cu 8/3 si obtinem (8/3)x-(4/3)=4/6
Simplificam 4/6 cu 2 si obtinem 2/3. Cum toate fractiile au acelasi numitor nu-l mai scriem.
8x-4=2 => x=6/8=3/4

Answer 2

( x - 1 / 2) = 4 / 6 : 8 / 3 = 4 / 6 × 3 / 8 = 1 / ( 2 × 2 ) = 1 / 4

x - 1 / 2 = 1 / 4

x = 1 / 4 + 1 / 2 = 1 / 4 + 2 / 4 = 3 / 4

Verific: ( 3 / 4 - 2 / 4 ) × 8 / 3 =( 1 / 4 ) × ( 8 / 3) = 2 / 3 = 4 / 6

Raspuns: x = 3 / 4 ∈ Q