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Show that 1 is a root of a(b-c)x^(2)+b(c...

Show that 1 is a root of `a(b-c)x^(2)+b(c-a)x+c(a-b)=0`. Hence show that if roots of this equation are equal then `(1)/(a),(1)/(b),(1)/(c)` are in A.P

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