Question

解方程:4/x-5+ x-5/12-x=x-33/x^2-17x+60

Answer 1

4/(x-5)-(x-5)/(x-12)=(x-33)/(x-5)(x-12)

两边乘(x-5)(x-12)

4(x-12)-(x-5)^2=x-33

x^2-10x+25-4x+48+x-33=0

x^2-13x+40=0

(x-5)(x-8)=0

x=5,x=8

分式方程要检验

经检验,x=5使分母为0,舍去

所以x=8