Question

IF ONE ZERO OF QUADRATIC POLYNOMIAL f(x)=4x2-8kx -9 is negative of the other,find the value of k.

Answer 1

One zero is negative of other, means sum of zeros is 0
$\frac{8k}{4} = 0 \\ k = 0$

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.