Question

If one zero of the polynomial 4x^2 - 8xk - 9 is negetive of one other ,find the value of k.

Answer 1

Answer:

k = 0

Step-by-step explanation:

Let α and β be the zeros of the polynomial 4x²-8kx-9

It is given that α=-β

Then, α+β=0

But α+β = -b/a = 0

So in above equation a = 4, b = -8k c = -9

8k/4=0

2k=0

k=0