prove that the roots of the equation (b+c-2a)x2+(c+a-2b)+(a+b-2c) are rational - Maths - Linear Inequalities

Question

prove that the roots of the equation
(b+c-2a)x2+(c+a-2b)+(a+b-2c) are rational

Attitude Girl · Answer

we have,
(b+c-2a)2+(c+a-2b)+(a+b-2c)
2b+2c-4a+c+a-2b+a+b-2c
-2a+b+c
which is a rational no because a rational no is in the form of
p/q where q≠0
hence, PROVED!!!!!!!!

prove that the roots of the equation (b+c-2a)x2+(c+a-2b)+(a+b-2c) are rational.