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equal roots means discriminant = 0
b^2 - 4ac = 0
(b-c)^2- 4*(a-b)*(c-a) = 0
b^2 - 2bc + c^2 - 4 (ac - bc - a^2 + ab) = 0
4a^2 + b^2 + c^2 - 4ab + 2bc - 4ac = 0
( 2a - b - c )^2 = 0
2a - bc = 0
2a = b + c
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