## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$x=1$ or $x=-1$
The real number is $x$ and its reciprocal is $\frac{1}{x}$ The equation is: $x=\frac{1}{x}$ $x^2=1$ by multiplying both sides by $x$, where $x\ne 0$ $x=1$ or $x=-1$