The roots of the equation `( a-b) x^2 +(b-c) x+ (c-a)` =0 are

Write the roots of the equation (a-b)x^2+(b-c)x+(c-a)=0.

Write the roots of the equation (a-b)x^(2)+(b-c)x+(c-a)=0

If the roots of the quadratic equation (a-b) x^(2) + (b - c) x + (c - a) =0 are equal , prove that b +c = 2a

If the roots of the equation : a(b - c)x^2 +b (c - a)x + c(a - b) = 0 are equal, show that 1/a,1/b,1/c are in A.P.

If the roots of the equation : (b-c)x^(2) + (c-a) x + ( a-b) = 0 are equal, then a,b,c are in :

The roots of the equation a ( b-c) x^2 -b(c-a) x+c(a-b)=0 are

If the roots of the equations (b-c) x^(2) + (c-a) x+( a-b) =0 are equal , then prove that 2b=a+c