Question

Решить уравнение: $2-3x+ x^{2} =2*(x-1)* sqrt{x}$

Answer 1

$2-3x+x^2=2(x-1)sqrt{x}\ (x-2)(x-1)=2(x-1)sqrt{x}\ x-2=2sqrt{x}\ (x-2)^2=4x\ x^2-4x+4=4x\ x^2-8x+4=0\ x_{1}=2sqrt{3}+4\ x_{2}=1$