It is known that the equation (a2-a) x2 + ax + A2-1 = 0 (1) when a is a value, the equation is a linear equation of one variable; (2) when a is a value, the equation is a quadratic equation of one variable; (3) when the equation has two real roots, one of which is 0, the value of a is obtained

It is known that the equation (a2-a) x2 + ax + A2-1 = 0 (1) when a is a value, the equation is a linear equation of one variable; (2) when a is a value, the equation is a quadratic equation of one variable; (3) when the equation has two real roots, one of which is 0, the value of a is obtained

(1) According to the characteristics of univariate quadratic equation, we get a2-a = 0, a = 0 or 1, when a = 0, the equation about X does not exist, so a = 1; (2) according to the characteristics of univariate quadratic equation, we get a2-a ≠ 0, a ≠ 1 and a ≠ 0; (3) substituting x = 0 into the original equation, we get A2-1 = 0, when a = ± 1, a = 1, the equation about X does not exist, so a = - 1