Prove that the roots of (x a)(x b) + (x b)(x c)...

 

Transcribed Image Text:

Prove that the roots of (x – a)(x – b) + (x – b)(x – c) + (x – c)(x – a) = 0 are real and equal if a = b = c. Prove that the roots of (x – a)(x – b) + (x – b)(x – c) + (x – c)(x – a) = 0 are real and equal if a = b = c.

Answer rating: 100% (QA)

xaxb xbxc xcxa 0 x 2 abx ab x 2 bcx bc x 2 cax ca 0 3x 2 2abcx ab bc ca ... View the full answer