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a+ar+ar²=28
a³.r³=512
ar=8
a=8/r
8/r+8+8r=28
8/r+8r=20
8+8r²-20r=0
8r²-20r+8=0
2r²-5r+2=0
(2r-1)(r-2)=0
r=1/2 atau r=2