Question

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

Answer 1

Sol :
Let x be zero of the quadratic polynomial then -x is negative of the other.
∴ f(x) = f(-x)
Given f{x}=x2-8kx-9
x2-8kx-9 = x2+8kx-9
-8kx = 8kx
∴ 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.