If the sum of zeroes of the quadratic polynomial $k x^{2} + 5 x + 3 k$ is equal to their product, find the value of $k$

Open in App

Solution

In the quadratic polynomial $a x^{2} + b x + c$
sum of zeroes $= - \frac{b}{a}$
product of zeros $= \frac{c}{a}$
The given quadratic polynomial $k x^{2} + 5 x + 3 k$
According to question,
sum of zeros=product of zeros
$\Rightarrow - \frac{5}{k} = \frac{3 k}{k}$
$\Rightarrow k = - \frac{5}{3}$

Suggest Corrections

Similar questions

If the sum of zeros of the quadratic polynomial p(x)=kx²+2x+3k is equal to their product find the value of k

p (x) = k x^{2} - 2 x - 3 k

k

f (t) = K t^{2} + 2 t + 3 K

K

If the sum of the zeros of the quadratic polynomial $k x^{2} + 2 x + 3 k$ is equal to the product of its zeros then k = ?

(a) $\frac{1}{3}$ (b) $\frac{- 1}{3}$ (c) $\frac{2}{3}$ (d) $\frac{- 2}{3}$

k

{k x}^{2} + 2 x + 3 k = 0

Join BYJU'S Learning Program