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If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal, then prove that 2b=a+c

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If the roots of the equation (b-c)x2+(c-a)x+(a-b)=0 are equal, then prove that 2b=a+c

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Hence, it is proved that c+a=2b

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