Question

if one zero of the polynomial f(x)=4x^2- 8kx+8x-9 is negative of the other find the value of k

Answer 1

Answer:   value of k is 1

Step-by-step explanation:

let one of the zeros be x so the other zero should be -x

we know that sum of zeroes is -b/a

so.......

hope it helps

Answer 2

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