Question

In quadratic function $a{x}^2+bx+c$, condition for solving is

• A. $a$ is equal to zero.
• B. $b$ is equal to zero.
• C. $a$ cannot be equal to zero.
• D. $c$ cannot be equal to zero.

Answer 1

The correct option is C $a$ cannot be equal to zero.

Sum and product of roots

If roots of $a{x}^2+bx+c=0$ are $\alpha$ and $\beta$, then

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

$\alpha \beta =\frac{c}{a}$

If $a$ is equal to $0$ then highest degree of the function will be $1$ and it will become a linear function and linear function has only one solution

Also, if $a$ is equal to $0$ then sum and product of the equation cannot be determined due to the formation $indeterminate$ form for example$(\frac{-b}{0})$.

Therefore Answer is $\left(C\right)$