The roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are real & equal if

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If abcd, then the roots of the equation (x-a) (x-c)+2(x-b)(x-d)=0 are real and distinct. (1984,1 ... If abcd, then the roots of the equation (x-a) (x-c)+2(x-b)(x-d)=0 are real and distinct. (1984,1 ...
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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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