2-3x+x^2=2(x-1)sqrtx

[latex]2 - 3 x + x^{2} = 2(x - 1) \sqrt{x}[/latex] [latex](x-1) (x- 2 \sqrt{x} - 2) = 0[/latex] [latex](x-2) (X-1) = 2 ( \sqrt{x} - 1) ( \sqrt{x} + 1)[/latex] [latex] x^{3/2} + 2 = 3x[/latex] [latex] x^{2} - 3x +2 = 2 x^{3/2} - 2 \sqrt{x} [/latex] [latex]x = 1[/latex] [latex]x = 2(2 + \sqrt{3})[/latex]