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Show that the roots of (x-b)(x-c)+(x-c)(...

Show that the roots of `(x-b)(x-c)+(x-c)(x-a)+(x-a)(x-b)=0` are real, and that they cannot be equal unless a=b=c.

A

a+b+c=0

B

`a+bw+cw^(2)=0`

C

a-b+c=0

D

a+b-c=0

Text Solution

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The correct Answer is:
B
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