Bonjour pourriez vous m aider merci je ne comprends pas c est un carré magique

Réponse :

Explications étape par étape

Bonjour

-1/4 | A | -1/6

-5/6 | B | C

-5/3 | D | E

Somme :

-1/4 - 5/6 - 5/3 = (-1 x 3)/(4 x 3) - (5 x 2)/(6 x 2) - (5 x 4)/(3 x 4) = -3/12 - 10/12 - 20/12 = -33/12 = -11/4

-1/4 + A - 1/6 = -11/4

A = -33/12 + 3/12 + 2/12

A = -28/12

A = -7/3

-5/3 + B - 1/6 = -11/4

B = -11/4 + 5/3 + 1/6

B = -33/12 + 20/12 + 2/12

B = -11/12

-5/6 - 11/12 + C = -11/4

C = -33/12 + 11/12 + 10/12

C = -12/12

C = -1

-7/3 - 11/12 + D = -11/4

D = -11/4 + 7/3 + 11/12

D = -33/12 + 28/12 + 11/12

D = -33/12 + 39/12

D = 6/12

D = 1/2

-1/6 - 1 + E = -11/4

E = -11/4 + 1/6 + 1

E = -33/12 + 2/12 + 12/12

E = -33/12 + 14/12

E = -19/12

-1/4 | -7/3 | -1/6

-5/6 | -11/12 | -1

-5/3 | 1/2 | -19/12