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

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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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2015-EXERCISE
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