Prove that the roots of the following equations are rational (1)` (a + c-b)x^2 + 2cx + (b-c-a) = 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 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. ax^2 + bx + c = 0 .

prove that the roots of the following equations are real 1)x^(2)-2ax+a^(2)-b^(2)-c^(2)=0

Show that the roots of each of the following equations are rational(a,b,c are rational): (a-b+c)x^2+2cx+(b+c-a)=0

Show that the roots of each of the following equations are rational(a,b,c are rational): (b+c)x^2-(a+b+c)x+a=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.

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.