If a, b, c are non-zero rational numberssuch that a + b + c = 0, then the roots of the equation(b+c−a)x2+(c+a−b)x+(a+b−c)=0are

As a + b + c = 0, we can write the equation2ax2+2bx+2c=0orax2+bx+c=0Note that x = 1 satisfies this equation and its other root is c/a.