Answer:
m > 3 for 2 solutions.
m = 3 for one solution.
Explanation:
mx^2 - 2mx + 3 = 0
For 2 solutions the discriminant b^2 - 4ac > 0 so we have
(-2m)^2 - 4*m* 3 > 0
4m^2 - 12m > 0
4(m^2 - 3m) > 0
m^2 - 3m > 0
m(m - 3) > 0
m > 3 - this is the result for 2 solutions.
For one solution the discriminant = 0
so m(m - 3) = 0
and m = 3 for 1 solution.