因式分解:(x-根号2)=根号5*X(2-根号2*x

问题描述:

因式分解:(x-根号2)=根号5*X(2-根号2*x

(x-根号2)=根号5*X(2-根号2*x)
(x-根号2)-根号5*X(2-根号2*x)=0
(x-根号2)-根号5*X*√2(√2-x)=0
(x-√2)(1+√10x)=0
x-√2=0或1+√10x=0
即x1=√2,x2=-√10/10