Question

If one zero of the polynomial f(x) = 4(k^2*x^2)-8x +9 is reciprocal of he other, then find then value of k

Answer 1

Answer:

Let one zero be a and other be 1/a

Clearly from the above step , we can see that the product of the Roots is 1....

So c/a is 1.

4k/k² = 1 .

4k = K² + 4

(k-2) (k-2)

Hence k = 2

Answer 2

Step-by-step explanation:

Let one zero be ¹/a

ATQ:-

c/a = 1

4k/k² = 1

4k = k² + 4

Hence , K = 2