Question

If $a+b+c=0$, $a\ne 0,ab,c\in Q$, then both the roots of the equation $a{x}^2+bx+c=0$ are

• A. Rational
• B. Non-real
• C. Irrational
• D. Zero

Answer 1

Answer: (A)

Rational

$x=1$ is non root

Centre root $\to \alpha$

$L+\alpha =-\frac{b}{a}$

both $c,a\in Q$

$\therefore \alpha =$ Rational