It is known that the equation AX2 + 2x-1 = 0 about X has real roots, and the value range of a is obtained

It is known that the equation AX2 + 2x-1 = 0 about X has real roots, and the value range of a is obtained

Sub situation
(1) Let the original equation be a quadratic equation of one variable
Because the original equation has real roots
∴△=b^2-4ac≥0
That is, 2 ^ 2 + 4A ≥ 0
The solution is a ≥ - 1, a ≠ 0
(2) Let the original equation be a linear equation of one variable
Then a = 0, the original equation holds
in summary
The range of a is a ≥ - 1