Question

规定运算a*b满足：a*a=1（a不等于0）,a*(b*c)=(a*b)c,其中b,c不等于0,a,b,c为实数,则方程

Answer 1

x^2 * 19 = 99x

(x^2 * 19)19 = 1881x

x^2 * (19 * 19) = 1881x

x^2 * 1 = 1881x

x^2 * (x^2 * 1) = x^2 * (1881x)

(x^2 * x^2)1 = x^2 * (1881x)

1 = x^2 * (1881x)

x^2 = 1881x (不是0)

x = 1881