Question:
If α and 1/α are the zeroes of the polynomial 4x2 – 2x + (k – 4), find the value of k
Answer:
Given, α and 1/α are the zeroes of the polynomial 4x2 – 2x + (k – 4)
=> product of zeroes = (k - 4)/4
=> α * (1/α) = (k - 4)/4
=> 1 = (k - 4)/4
=> k - 4 = 4
=> k = 4 + 4
=> k = 8
So, the value of k is 8
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