Question

If alpha and 1/alpha are the zeros of 4x^2-17x+k-4 find the value of k

Answer 1

Hello,

P(x) = 4x²-17x + k-4

The zeroes of the polynomial is
Alpha and 1/alpha

Also the relation between the zeroes and the coefficients is
$\alpha \beta = \frac{c}{a} \\ \alpha \times \frac{1}{ \alpha } = \frac{k - 4}{4} \\ \frac{k - 4}{4} = 1 \\ k - 4 = 4 \\ \\ k = 4 + 4 = 8$
So the value of k is 8

Hope this will be helping you....