Home > PC3 > Chapter 8 > Lesson 8.1.1 > Problem8-15

8-15.

Given that $a=x+\frac{1}{x}$, solve for $x$ in terms of $a$. Homework Help ✎

Multiply each term by $x$.

Move all terms to one side and set equal to $0$.

$ax=x^2+1$
$x^2−ax+1=0$
$x=\frac{-(-a)\pm \sqrt{(-a)^2-4(1)(1)}}{2(1)}$