Question

解方程：根号2(x的平方-1)=x(x-2)+1（用适当的方法）现在就要

Answer 1

√2(x^2-1)=x^2-2x+1=(x-1)^2

√2(x-1)(x+1)=(x-1)^2

√2(x+1)=x-1 或 x-1=0

(√2-1)x=-1-√2

x=(-1-√2)/(√2-1)=-3-2√2 或x=1