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10. Determinați a+b+c, astfel încât:
a) ab + bc + ca = 88;
b) ab + bc + ca = abc;
c) abc + cab + bca = 777;
d) ab + ac + ba + bc +ca + cb=110.


Răspuns :

Răspuns:

a) 11a+11b+11c=88/:11

a+b+c=8

b) 11a+11b+11c=abc

11a+11b+11c=100a+10b+c

b+10c=89a

c) 111a+111b+111c=777/:111

a+b+c=7

d) 22a+22b+22c=110/:22

a+b+c=5

Scuze ca nu am reusit la b dar totusi spor