Question

if alpha and one upon alpha Are the zeros of the polynomial 4x-2x+1 (k-4) find the values of k

Answer 1

Hi...☺

Here is your answer...✌

GIVEN THAT,

POLYNOMIAL : 4x² - 2x + (k-4)

Zeros are α and 1/α

Now,

We know that,

$Product \: of \: zeros = \frac{c}{a} \\ \\ \alpha \times \frac{1}{ \alpha } = \frac{k - 4}{4} \\ \\ 1 = \frac{k - 4}{4} \\ \\ 4 = k - 4 \\ \\ = > k = 8$

Answer 2

k = 8 .........................
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