Question

If the sum of zeros of polynomial f(x) = kx2-5x+9 is -2 find the value of k

Answer 1

Heya !!




KX² - 5X + 9





Here,


A = K , B = -5 and C = 9




Sum of zeroes = -B/A





-2 = 5/K




K = - 5/2

Answer 2

$\textbf{Solution:}$

Given

$f(x) = kx {}^{2} - 5x + 9$

On comparing with

$ax { }^{2} + bx + c$

Here a = k , b = - 5 , c = 9

Sum of zeroes

$\alpha + \beta = \frac{ - b}{a} \\ \\ = > - 2 = \frac{ 5}{k} \\ \\ = > - 2k = 5 \\ \\ = > k = \frac{ - 5}{2}$

$\textbf{Hope it will helps you:-)}$