a+b-2√a-4√b=6√c-c-14
a+b-2√a-4√b-6√c+c+14=0
﹙a-2√a+1)+(b-4√b+4)+(c-6√c+9)=0
(√a-1)²+(√b-2)²+(√c-3)²=0
√a-1=0,√b-2=0,√c-3=0
a=1,b=4,c=9
a+b-2√a-4√b=6√c-c-14
a+b-2√a-4√b-6√c+c+14=0
﹙a-2√a+1)+(b-4√b+4)+(c-6√c+9)=0
(√a-1)²+(√b-2)²+(√c-3)²=0
√a-1=0,√b-2=0,√c-3=0
a=1,b=4,c=9