One math problem in high school, about set The known set M = {x ∈ R / 5AX ^ 2-3x + 2 = 0, a ∈ r} If there is at most one element in M, find the value range of real number a Online and other answers

One math problem in high school, about set The known set M = {x ∈ R / 5AX ^ 2-3x + 2 = 0, a ∈ r} If there is at most one element in M, find the value range of real number a Online and other answers

There is at most one element in M, indicating that the equation has no real solution or only one real solution
It is required that △≤ 0
△=B²-4AC=(-3)²-4*a*2
=9-8a≤0
So a ≥ 9 / 8
Or a = 0
Because when a = 0, X has only one solution and M has only one real number