Given the set a = {xiax ^ 3 + x ^ 2-x = 0}, if the set a is a single element set, then the value range of real number a is_______ . 1. Given the set a = {xiax ^ 3 + x ^ 2-x = 0}, if the set a is a single element set, then the value range of real number a is_______ . 2. Given the set a = {xiax ^ 2 + X + 1 = 0, X ∈ r}, and a ∩ {XIX ≥ 0} = & # 8709;, then the value range of real number a is --.

Given the set a = {xiax ^ 3 + x ^ 2-x = 0}, if the set a is a single element set, then the value range of real number a is_______ . 1. Given the set a = {xiax ^ 3 + x ^ 2-x = 0}, if the set a is a single element set, then the value range of real number a is_______ . 2. Given the set a = {xiax ^ 2 + X + 1 = 0, X ∈ r}, and a ∩ {XIX ≥ 0} = & # 8709;, then the value range of real number a is --.

1. Because the equation x (AX ^ 2 + x-1) = 0 has at least one root x = 0, and 0 is not the root of ax ^ 2 + X-1 = 0
So if a has only one element, the equation AX ^ 2 + X-1 = 0 has no solution
That is △ = 1 + 4a