Question

if one zero of quadratic polynomial f(x)=4x²–8kx–9 0is negative to other find the value of k

Answer 1

If the 2 zeroes r negative of each other,
sum of zeroes=0
-b/a =0
8k/4=0
k=0

Answer 2

Step-by-step explanation:

Answer :-

→ k = 0 .

Step-by-step explanation :-

It is given that,

→ One zeros of the given polynomial is negative of the other .

Let one zero of the given polynomial be x .

Then, the other zero is -x .

•°• Sum of zeros = x + ( - x ) = 0 .

But, Sum of zeros = -( coefficient of x )/( coefficient of x² ) = - ( -8k )/4 ....

==> 2k = 0 .

==> k = 0/2 .

•°• k = 0 .

Hence, it is solved.