` a, b, c` are rational. Then the roots of `(a+b+c) x^2 – 2(a+c) x+ (a-b+c)=0` are.

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

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

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

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

If a+b+c=0 and a,b,c are rational. Prove that the roots of the equation (b+c-a)x^(2)+(c+a-b)x+(a+b-c)=0 are rational.

If a+b+c=0 and a,b,c are rational. Prove that the roots of the equation (b+c-a)x^(2)+(c+a-b)x+(a+b-c)=0 are rational.