Question

If one zero of the quadratic polynomial f (x)= 4x^2-8kx-9 is negative of the other, find the value of 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