Chapter 11 - Section 11.3 - Solving Equations by Using Quadratic Methods - Exercise Set - Page 788: 45

$x=1, 4$

$x-\sqrt x =2$ $x-\sqrt x +\sqrt x=2+\sqrt x$ $x=2+\sqrt x$ $x-2=2+\sqrt x-2$ $x-2=\sqrt x$ $(x-2)^2=(\sqrt x)^2$ $x*x+x(-2)+x(-2)+(-2)(-2)=x$ $x^2-4x+4=x$ $x^2-5x+4=0$ $(x-4)(x-1)=0$ $x-4=0$ $x=4$ $x-1=0$ $x=1$