Chapter 9 - Quadratic Functions and Equations - 9-7 Linear Quadratic, and Exponential Models - Practice and Problem-Solving Exercises - Page 594: 34

$x=2.5$ or $x=0.1$

We are given: $3x^2-8x=-1$ $3x^2-8x+1=0$ Use the quadratic formula. $x=\frac{-(-8)+\sqrt (-8)^2-4.1.3}{2.3}$ $x=\frac{8 \pm 2\sqrt 13}{6}$ $x=\frac{4\pm \sqrt 13}{3}$ $x=\frac{4+ \sqrt 13}{3}$ or $x=\frac{4 - \sqrt 13}{3}$ $x=2.5$ or $x=0.1$