Question

if one zero of the quadratic polynomial 4x2-8kx-9 is negative of the other find the value of k

Answer 1

Let two roots of quadratic equation are x(1) & x(2).

Then according to question,

x(1) = -x(2)

x(1) + x(2) = 0

-(b/a)=0 ( sum of roots = -(coefficient of x / coefficient of x^2) )

8k/4=0

k=0

Thanks!

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.