Question

if a and b are two zeroes of quqdratic polynomial f(x)= x² - 5x + k and , a-b =1, find the value of k​

Answer 1

Answer:

from 1

3+b=5

b=5-3=2

so k = 6

Answer 2

Answer:

k=6

Step-by-step explanation:

$\alpha + \beta = - \frac{b}{a } = - \frac{ - 5}{1} = 5 \\ \alpha \beta = \frac{c}{a} = \frac{k}{1} = k$

a+b=5...(1)

a-b=1...(2)

solving eqns

2a=6

a=3

use eqn (1)

3+b=5

b=2

ab=k

3×2=k

k=6