Question 882667
Unsure because we are not given the signs for the VALUES of a, b, c.


Try examining the discriminant.
{{{(b-c)^2-4(a-b)(c-a)}}}
{{{b^2-2bc+c^2-4(ac-bc-ac+ab)}}}
{{{b^2-2bc+c^2-4(ac-ac+ab-bc)}}}
{{{b^2-2ab+c^2-4(ab-bc)}}}
{{{b^2-2ab+c^2+4bc-4ab}}}
{{{b^2-2ab-4ab+c^2+4bc}}}
{{{b^2-6ab+4bc+c^2}}}


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).