Question

Determine k so that the given equation will have the stated property and write the resulting equation 4x² - 8kx - 9=0 has one root the negative of the other​

Answer 1

k=0

Explanation:

Let one root = a,

other root= -a as they are negatives of each other. sum of two roots= a-a=0

sum =
`(8k)/(4)` = 0 .

So k = 0.

product of roots = 9/4.