Question

if one zero of the quadratic polynomial 4x^2-8kx-9 is negative of the Other find the value of k

Answer 1

Let one root Be
α and other be β so let β = -α so -b/a = 8k/4 =α+β => 2k =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.