Question

16. If zeroes of the polynomial p(x) = -8x2+ (k + 5) x + 36 are negative to each other then the value of k is​

Answer 1

answer: both zeroes are negative to each other so we will take Alpha*beta=0

Answer 2

Given:

Consider the given equation -8x^2 +(k+5) x + 36

and the zeroes are negative to each other

Find:

The value of k

Solution:

Let the zeros are α and -α then

sum of roots = $\frac{-coefficient (x)}{coefficient(x^2)} =\frac{-(k+5)}{-8}$

$\frac{k+5}{8} =\alpha -\alpha$

k+5 = 0

k = -5

The value of k is -5.