If a ,b ,c are non zero rational no then prove roots of equation `(a b c^2)x^2+3a^2c x+b^2c x-6a^2-a b+2b^2=0` are rational.

If a,b,c are rational then roots of equation abc^2x^2+3a^2 cx+b^2 cx-6a^2-ab+2b^2=0 are (A) irrational (B) rational (C) imaginary (D) irrational if a^2ltb

If a,b,c,d are rational and are in G.P. then the rooots of equation (a-c)^2 x^2+(b-c)^2x+(b-x)^2-(a-d)^2= are necessarily (A) imaginary (B) irrational (C) rational (D) real and equal

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

Let a, b, c be non-zero real roots of the equation x^(3)+ax^(2)+bx+c=0 . Then

If a,b,c are real and a!=b, then the roots ofthe equation,2(a-b)x^(2)-11(a+b+c)x-3(a-b)=0 are :

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