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

Let the zeroes of the polynomial be α and -α.

Then, sum of zeroes = -b/a.

》-α+α= -(-8k)/4

》0= 8k/4

》8k= 0

》k= 0

The value of k is 0.

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Answer 2

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.