Question

3. The equation x^2 + n = 0 ________

has at least one real number solution when n > 0
a) always
b) sometimes
c) never

Answer 1

in general:

if delta>0 the equation has 2 solutions

if delta=0 the equation has 1 solution

if delta<0 the equation doesn't have real solutions

here :

delta=-4n

if n>0=> delta<0 => c) never