If the sum of the zeros of the quadratic polynomial

Question:

If the sum of the zeros of the quadratic polynomial $k x^{2}-3 x+5$ is 1 , write the value of $k$.

Solution:

By using the relationship between the zeros of the quadratic ploynomial.
We have

Sum of zeroes $=\frac{-(\text { coefficient of } x)}{\text { coefficent of } x^{2}}$

$\Rightarrow 1=\frac{-(-3)}{k}$

$\Rightarrow k=3$