解方程(x+1)(x-1)=2倍根号2x x的平方-3x+1=0

问题描述:

解方程(x+1)(x-1)=2倍根号2x x的平方-3x+1=0
用恰当的方法

(x+1)(x-1)=2√2xx^2-1=2√2xx^2-2√2x=1x^2-2√2x+2=1+2(x-√2)^2=3x-√2=±√3x1=√3+√2x2=-√3+√2x^2-3x+1=0x^2-3x=-1x^2-3x+9/4=5/4(x-3/2)^2=5/4x-3/2=±(√5)/2x1=(√5+3)/2x2=(-√5+3)/2