Question

Rezolva in Z: 5×{3+4×[1+2×(x/3-4)]}+11=46
Dau coroană!

Answer 1

Răspuns:  x = 12

Explicație pas cu pas:

5 × { 3 + 4 × [ 1 + 2 × ( x/3 - 4 ) ] } + 11 = 46

5 × { 3 + 4 × [ 1 + 2 × ( x/3 - 4 ) ] } = 46 - 11

5 × { 3 + 4 × [ 1 + 2 × ( x/3 - 4 ) ] } = 35

3 + 4 × [ 1 + 2 × ( x/3 - 4 ) ] = 35 : 5

4 × [ 1 + 2 × ( x/3 - 4 ) ] = 7 - 3

1 + 2 × ( x/3 - 4 ) = 4 : 4

2 × ( x/3 - 4 ) = 1 - 1

x/3 - 4 = 0 : 2

x/3 = 0 + 4

x/3 = 4

x = 3 × 4

x = 12 ∈ Z