Question

The value of k so that the equation

2x2 + (4- k)x - 17 = 0 has one root
equal but opposite in sign is
​

Answer 1

4

Explanation:

Given the equation :

2x²+ (4- k)x - 17 = 0

a = 2, c = - 17 b = (4 - k)

For the equation above to have one root; equal but opposite in sign

Then;

(ax + c) = 0 and b = 0

Since b = 0, the we can solve for k

b = 4 - k

b = 0

4 - k = 0

4 = k