Question

已知 x ^3n-2 ÷x^ n+1 =x^3-n×x^n+2,求n的值

Answer 1

x ^3n-2 ÷x^ n+1 =x^3-n×x^n+2

x ^3n-2× x^-n-1 =x^3-n×x^n+2

x^(3n-2-n-1)=x^(3-n+n+2)

x^(2n-3)=x^5

2n-3=5

2n=8

n=4