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

Since α and -α are the zeros of the quadratic polynomial f(x) = 4x² − 8kx − 9

α - α = 0

`(-"coefficient of x")/("coefficient of "x^2)=0`

`(-8k)/4=0`

-8k = 0 x 4

-8k = 0

`k=0/-8`

k = 0

Hence, the value of k is 0.