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AJUTORRRRRRRRRRRRRRRRRRRRRRRRRRRRRR!!!! Determinati nr. de forma abc știind ca 2(ab+ba)+2 la puterea c=67​

AJUTORRRRRRRRRRRRRRRRRRRRRRRRRRRRRR Determinati Nr De Forma Abc Știind Ca 2abba2 La Puterea C67 class=

Răspuns :

Răspuns:

abc numar ∈{120, 210}

Explicație pas cu pas:

2*11(a+b)+2^c=67

67 impar, 2*11(a+b) par, deci 2^c impar deci c=0 2^0=1

2*11(a+b) =66

a+b=3

a, b , cifre nenule

dec i a=1, b=2 sau a=2, b=1

abc numar ∈{120, 210}