Question

A,b,c=?
a^2+b+c=6
a+b^2+c=8
a+b+c^2=12

Answer 1

a^2+b+c=6

a+b^2+c=8

a+b+c^2=12  (+)

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a^2+2a+b^2+2b+c^2+2c=26  adunam 3

(a^2+2a+1)+(b^2+2b+1)+(c^2+2c+1)=29

(a+1)^2+(b+1)^2+(c+1)^2=29

(a+1)^2+(b+1)^2+(c+1)^2=2^2+3^2+4^2

=> a=1; b=2;c=3