Prove that both the roots of equation (x-a)(x-b)+(x-b)(x-c)(x-a)=0are real and equal when a=b=c

Prove that both the roots of equation (x-a)(x-b)+(x-b)(x-c)(x-a)=0are

1.	Prove that both the roots of equation (x-a)(x-b)+(x-b)(x-c)(x-a)=0are real and equal when a=b=c
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