Question

计算：(x-1/x)平方-3x+3/x+2=0

Answer 1

(x-1/x)平方-3x+3/x+2=0

(x-1/x)^2-3(x-1/x)+2=0

(x-1/x-2)(x-1/x-1)=0

(x-1/x-2)=0或(x-1/x-1)=0

(1) x-1/x-2=0

x^2-2x-1=0

用公式法解得

x=2±√2^2+4*1/2=1±√2

(2）x-1/x-1=0

x^2-x-1=0

用公式法解得

x=1±√1+4*1/2=1±√5/2