Question

解方程：x^2-2x-15+[36/(x^2-2x)]=0

Answer 1

设x^2-2x=t,有：

t-15+36/t=0

t^2-15t+36=0

t=3或t=12

x^2-2x=3时,解得x=3或x=-1

x^2-2x=12时,解得x=1+√13或x=1-√13