Question

If one zero of the quadratic polynomial 4x2-8kx-9 is negative of the other, Find the value of k

Answer 1

Answer:

0

Step-by-step explanation:

Let one zero be α

the other zero be -α

The sum of the roots =-b/a

α+(-α)=8k/4

0. =2k

k. =0

Hence the value of k is 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.