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

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Prove that equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 have equal roots, show that roots are equal Prove that equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 have equal roots, show that roots are equal
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If the roots of \( (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a) \) \( =0 \) are equal then which of the foll... If the roots of \( (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a) \) \( =0 \) are equal then which of the foll...
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 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 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