Question

x^2-x-12/(x^2-x)=4解方程

Answer 1

A=x^2-x

A-12/A=4

A^2-4A-12=0

(A-6)(A+2)=0

A=6或A=-2

x^2-x=6

x^2-x-6=0

(x-3)(x+2)=0

x=3或x=-2

x^2-x=-2

x^2-x+2=0

无解

综上x=3或x=-2