Question

If one zero of the polynomial Kx^2+4x+8-k is reciprocal of the other then find the value of K

Answer 1

Hi Friend,

Let the one zero of the given polynomial be Alpha

Then,

The other zero is 1/Alpha

Therefore,

Product of zero = (Alpha × 1/Alpha) = 1

But,

Product of zeros = Constant term/Coefficient of X² = 8-K/K

Therefore,

8-K/K = 1

8-K = K

2K = 8

K = 8/2

K = 4

Hence,

K = 4


HOPE IT WILL HELP YOU..... :-)

Answer 2

Step-by-step explanation:

Hi friends,

Let the one zero of the given polynomial be alpha

then,

the other zero is the 1/alpha

therefore,

product of zeros =constant term/coefficient of x^2=8-k/k

therefore,

8-k/k=1

8-k=k

2k=8

k=8/2

k=4

so, the answer is

k=4