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

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Both th roots of the equation (x-b)(x-c)+(x-a)(x-b)+(x-a)(x-c)=0 are always Both th roots of the equation (x-b)(x-c)+(x-a)(x-b)+(x-a)(x-c)=0 are always
Show that the roots of the equation: (x-a) (x -b) +(x- b) (x-c)+ (x- c) (x -a) =0 are always rea... Show that the roots of the equation: (x-a) (x -b) +(x- b) (x-c)+ (x- c) (x -a) =0 are always rea...
Prove that both roots of (x-b)(x-c) + (x-c)(x-a) + (x-a)(x-b) = 0 are real. Prove that both roots of (x-b)(x-c) + (x-c)(x-a) + (x-a)(x-b) = 0 are real.
Both the roots of the equation \( (x-b)(x-c)+(x-a)(x-c) \) \( +(x-a)(x-b)=0 \) are always (a) po... Both the roots of the equation \( (x-b)(x-c)+(x-a)(x-c) \) \( +(x-a)(x-b)=0 \) are always (a) po...
Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are always Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are always
Show that roots of (x-a)(x-c) + 2(x-b)(x-d) are real and distinct. Show that roots of (x-a)(x-c) + 2(x-b)(x-d) are real and distinct.
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
Prove that both of the roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are real but they... Prove that both of the roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are real but they...