Question

.
(ii) If a and B are zeroes of the polynomial x2 - 5x - k such that a - B = 1, then find th
value of k.​

Answer 1

Answer:

k=(-6)

Step-by-step explanation:

x²-5x-k

α+β=5--eq1,αβ=(-k)

α-β=1--eq2

Add eq1 and eq2, we get

2β=4

β=4/2

β=2

Substitute β=2 in eq2

α-β=1

α-2=1

α=1+2

α=3

αβ=(-k)

(3)(2)=(-k)

(-k)=6

k=(-6)

Therefore, the value of k is (-6)