Question

Решите уравнение.
Решите уравнение.

Answer 1

$(x-1) sqrt{2} =2x-1\ \ xsqrt{2} -sqrt{2} =2x-1\ \ xsqrt{2} -2x=sqrt{2} -1\ \ x(sqrt{2} -2)=sqrt{2} -1\ \ x= dfrac{sqrt{2} -1}{sqrt{2} -2} = dfrac{sqrt{2} -1}{-sqrt{2} (sqrt{2} -1)} =- dfrac{1}{sqrt{2} }$