If roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are equal then show that a=b=c

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if the roots of the quadratic equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are equal show that a=b=c if the roots of the quadratic equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are equal show that a=b=c
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If the roots of the equation `(x-b)(x-c)+(x-c)(x-a)+(x-a)(x-b)=0` are equal then If the roots of the equation `(x-b)(x-c)+(x-c)(x-a)+(x-a)(x-b)=0` are equal then