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,care non zero rational no then prove roots of equation (abc^(2))x^(2)+3a^(2)cx+b^(2)cx-6a^(2)-ab+2b^(2)=0 are rational.

If a ,b ,c(a b c^2)x^2+3a^2c x+b^2c x-6a^2-a b+2b^2=0 ares rational.

If a ,b ,c are non zero (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 lt c lt b then the roots of the equation (a−b)x^2 +2(a+b−2c)x+1=0 are

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.

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.

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.