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Réponse :

Explications étape par étape

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Carré magique multiplicatif :

18 | A | B

C | -6 | D

-3 | E | 2

Produit : 18 x -6 x 2 = -216

18 x C x (-3) = -216

C = -216/(-18 x 3)

C = 216/54

C = 4

4 x (-6) x D = -216

D = -216/(4 x -6)

D = 216/24

D = 9

B x 9 x 2 = -216

B = -216/(2 x 9)

B = -216/18

B = -12

18 x A x -12 = -216

A = -216/(-18 x 12)

A = 216/216

A = 1

-3 x E x 2 = -216

E = -216/(-3 x 2)

E = 216/6

E = 36

18 | 1 | -12

4 | -6 | 9

-3 | 36 | 2

-15 | A | -2 | 6

B | C | -5 | D

-3 | 6 | E | 5

7 | -10 | F | G

Produit : 7 x 6 x (-5) x 6 = (-1260)

-3 x 6 x E x 5 = -1260

E = -1260/(-3 x 6 x 5)

E = 1260/90

E = 14

-2 x -5 x 14 x F = -1260

F = -1260/(-2 x -5 x 14)

F = -1260/140

F = -9

7 x -10 x -9 x G = -1260

G = -1260/(7 x 10 x 9)

G = -1260/630

G = (-2)

-15 x C x 14 x (-2) = -1260

C = -1260/(15 x 14 x 2)

C = -1260/420

C = 3

-15 x A x (-2) x 6 = -1260

A = -1260/(15 x2 x 6)

A = -1260/180

A = -7

-15 x B x -3 x 7 = -1260

B = -1260/(15 x 3 x 7)

B = -1260/315

B = -4

-4 x 3 x -5 x D = -1260

D = -1260/(4 x 3 x 5)

D = -1260/60

D = -21

-15 | -7 | -2 | 6

-4 | 3 | -5 | -21

-3 | 6 | 14 | 5

7 | -10 | -9 | -2