Question

已知,方程(2m-6)x^|n|+1+(n+2)y^m^2-8=0,求m,n

Answer 1

(2m-6)x^(|n|+1) + (n+2)y^(m^2-8) = 0

要使得(2m-6)x^(|n|+1) + (n+2)y^(m^2-8) = 0

对所有x,y都成立,所以必须有2m-6 = 0且n+2 = 0

所以m = 3,n = -2