Question:
α and β are the zeores of x^2 - 2x k and α-β=8. Find K.
Answer:
Given polynomial is x2 - 2x + k
Again given α and β are the zeroes of this polynomial and α - β = 8
α + β = 2 and α * β = k
Now
(α + β)2 = (α - β)2 + 4*α * β
=> 22 = 82 + 4k
=> 4 = 64 + 4k
=> 4k = 4-64
=> 4k = -60
=> k = -60/4
=> k = = -15
So value of k = -15
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