Question

The zeroes of the quadratic polynomial x^2+kx+k, k≠0:
(a) cannot be both positive (b) cannot be both negative (c) are always equal

(d) are always non equal

Please tell the answer and how?

Answer 1

b2 - 4ac = k2 - 4*1*k
= k2 - 4k
K is not equal to 0

If K is less than 0
k2 - 4k
(-1)^2 - 4*(-1)
= 1 + 4 =5
= will be positive

If K is greater than 0
k2 - 4k
=1*1 -4*1
= -3
So option (a) is right