Question

The zeroes of the quadratic polynomial x2 + kx + k where k ≠ 0,
(a) cannot both be positive                      
(b) cannot both be negative
(c) are always unequal                 
(d) are always equal
____________
will surely mark BRAINLIST if
YOUR ANS. IS WELL EXPLAINED ACCORDING TO CLASS 10 METHOD.​

Answer 1

Answer:

your answer is (a)

Step-by-step explanation:

x2+kx+k,k≠0

roots or zeroes=(-k+√(k∧2-4k))/2,(-k-√(k∧2-4k))/2

since k≠0 ,roots can't be zero

the nature of root depends on √(k∧2-4k )

k<0 then √(k∧2-4k)>k so roots will be one  positive and one negative

if k>0 then √(k∧2-4k) < k both roots will be  negative

so both roots can't be positive

MARK IT AS BRAINLIEST