Question

If one root of a quadratic equation $a{x}^2+bx+c=0$ is $0$, and the value of the coefficients $a,b$ are $8,7$ respectively, then the other root is:

• A. $-\frac{8}{7}$
• B. $-\frac{7}{8}$
• C. $\frac{7}{8}$
• D. $\frac{8}{7}$

Answer 1

The correct option is B $-\frac{7}{8}$

Given equation has one root as $0$.
For $a{x}^2+bx+c=0$ to have zero as a root,
$\Rightarrow$ the constant term, $c=0$
If $c=0$ then the roots are $0$ and $-\frac{b}{a}$
$\Rightarrow$ Hence the other root is $-\frac{7}{8}$