Question

if alpha and one by Alpha as zeros of the polynomial 4 x ^ 2 - 2 X + K - 4 find the value of k

Answer 1

Answer:

Let the given polynomial be p(x) = 4x2 − 2x +(k − 4) Given α and 1/α are zeros of the given polynomial Product of zeroes = (c/a) That is ( α ×1/α) = (k − 4)/4 ⇒ 1 = (k − 4)/4 ⇒ 4 = (k − 4) ∴ k = 8

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Answer 2

Solution- ----------

Let, alpha denotes by the symbol "£"

Now, According to the question --
product of Zeroes = constant term / coefficient
of x^2.

£ × 1/ £ = (k-4) / 4
1 = (k-4)/4
k-4 = 4
k = 4+4
k = 8........... is the required answer.

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