Question

please solve 3 and 4

Answer 1

3) α + β = 5 ; αβ = k

(α-β)² = (α+β)² - 4αβ = 25 -4k

But α - β = 1

25-4k = 1

k = 6

4) α + β = -4/k ; αβ = 4/k

α² + β² = 24

(α+β)² - 2αβ = 24

16/k²  - 8/k = 24

2/k² - 1/k = 3

3k²+k-2 = 0

k = 2/3 or -1