Question

If a + b + c = 0 the roots of the quadratic equation $a{x}^2+bx+c=0$ is/are

• A. 1
• B. c/a
• C. (-(b+a))/a
• D. b/a

Answer 1

Answer: (A), (B), (C)

The correct options are
A

1

B

c/a

C

(-(b+a))/a

sum of coefficients = 0
$\Rightarrow$ 1 is a root of the equation ---------(A)
Let the other root be $\alpha$
Then $\alpha$X1=$\frac{c}{a}$
$\Rightarrow \alpha =\frac{c}{a}$----------(B)
$\alpha +1$=$\frac{-b}{a}$
$\alpha =\frac{-b}{a}-1$
=$\frac{-(b+a)}{a}$----------(C)