Question

If α and β are the zeros of the polynomial f(x)=x 2 −5x+k such that α−β=1 find the value of k

Answer 1

Answer:

6

Step-by-step explanation:

α +β = -(-5)/1

= 5

α -β = 1 (given)

after adding both equations

we get 2α = 6

α = 3

putting value of α in equation

= 3² - (5 x 3) + k = 0

9- 15 +k = 0

k = 6