Question

If one zero o the quadratic polynomial 4x2_8kx_9 is negative of the other,find k

Answer 1

Let α and β be the zeros of the

polynomial 4x²-8kx-9

It is given that α=-β

Then, α+β=0

-b/a=0

-(coefficient of x)/coefficient of x²=0

8k/4=0

2k=0

k=0

Answer 2

Answer: 0

Step-by-step explanation:

If one zero is negative of the other, then their sum is 0.

So 8k/4=0

K=0