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8_7:[6_5×(32:8_4:n)+1]_6=1​

Răspuns :

Răspuns: n = 1

Explicație pas cu pas:

8 - 7 : [ 6 - 5 × ( 32 : 8 - 4 : n ) + 1 ] - 6 = 1

8 - 7 : [ 6 - 5 × ( 4 - 4 : n ) + 1 ] = 1 + 6

8 - 7 : [ 6 - 5 × ( 4 - 4 : n ) + 1 ] = 7

7 : [ 6 - 5 × ( 4 - 4 : n ) + 1 ] = 8 - 7

7 : [ 6 - 5 × ( 4 - 4 : n ) + 1 ] = 1

6 - 5 × ( 4 - 4 : n ) + 1 = 7 : 1

6 - 5 × ( 4 - 4 : n ) + 1 = 7

6 - 5 × ( 4 - 4 : n ) = 7 - 1

6 - 5 × ( 4 - 4 : n ) = 6

5 × ( 4 - 4 : n ) = 6 - 6

5 × ( 4 - 4 : n ) = 0

4 - 4 : n = 0 : 5

4 - 4 : n = 0

4 : n = 4 - 0

4 : n = 4

n = 4 : 4

n = 1  → numărul, aflat prin metoda mersului invers

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Verific:

8 - 7 : [ 6 - 5 × ( 32 : 8 - 4 : 1 ) + 1 ] - 6 = 1

= 8 - 7 : ( 6 - 5 × 0 + 1 ) - 6 =

= 8 - 7 : 7 - 6 =

= 8 - 1 - 6 =

= 7 - 6

= 1