Chapter 11 - Section 11.2 - Solving Quadratic Equations by Completing the Square - Exercise Set - Page 778: 62

$x= -.618, 1.618$

$(x-1)/1 = 1/x$ $(x-1)*x=1*1$ $x^2-x=1$ $x^2-x-1=0$ $x=(-b±\sqrt {b^2-4ac})/2a$ $x=(-(-1)±\sqrt {(-1)^2-4*1*-1})/2*1$ $x=(1±\sqrt {1+4})/2$ $x=(1±\sqrt 5)/2$ $x=(1±2.236)/2$ $x=(1+2.236)/2$ $x=3.236/2$ $x=1.618$ $x=(1±2.236)/2$ $x=(1-2.236)/2$ $x=-1.236/2$ $x=-.618$