IF a,b,c are rational and a+b+c=0, show that the roots of the equation `ax^2+bx+c=0` are rational.

If a , b , c , are rational and a + b + c= 0 . Show that the roots of the following equation are rational. ax^2 + bx + c = 0 .

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

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

IF b=c=0 then both roots of the equation ax^2+bx+c=0(ane0) 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 are positive and a = 2b + 3c, then roots of the equation ax^(2) + bx + c = 0 are real for

If a, b, c are positive and a = 2b + 3c, then roots of the equation ax^(2) + bx + c = 0 are real for

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.