SOLUTION: if (a-b)x^2+( b-c)x+( c-a)= 0 then nature of roots are

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Question 882667: if (a-b)x^2+( b-c)x+( c-a)= 0 then nature of roots are
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Unsure because we are not given the signs for the VALUES of a, b, c.

Try examining the discriminant.
%28b-c%29%5E2-4%28a-b%29%28c-a%29
b%5E2-2bc%2Bc%5E2-4%28ac-bc-ac%2Bab%29
b%5E2-2bc%2Bc%5E2-4%28ac-ac%2Bab-bc%29
b%5E2-2ab%2Bc%5E2-4%28ab-bc%29
b%5E2-2ab%2Bc%5E2%2B4bc-4ab
b%5E2-2ab-4ab%2Bc%5E2%2B4bc
b%5E2-6ab%2B4bc%2Bc%5E2

You can go on and form the general solutions for x, but doing that may not give any clearer information about the nature of the roots (solutions for x).