Question

if alpha and beta are the zeros of the polynomial 4 x square - 2 X + K - 4 and Alpha is equal to one upon beta find the value of k​

Answer 1

Answer:

Given:

• alpha and beta are the zeros of the polynomial

• polynomial 4 x square - 2 X + K - 4

• Alpha is equal to one upon beta

To find:

• the value of 'k​'

Solving Question:

We are given the polynomial and given 1/alpha = beta , we can simply use these formulas to get the answer.

If α  and β are zeros,then,

• α + β = -b/a

• α * β = c/a

Solution:

α = 1/β [given]

α * β = c/a

⇒ 1/β * β = c/a

or, 1 = c/a

or, 1 = (k -4)/4   [ c = k -4 ]

or, 4 = k -4

or, k = 8

verify it,

4x² -2x + 8 -4

or, 4x² -2x +4

⇒ c/a = 4/4 = 1

Hence, verified.

Answer 2

Answer:

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