Chapter 9 - Quadratic Functions and Equations - 9-7 Linear Quadratic, and Exponential Models - Practice and Problem-Solving Exercises - Page 594: 32

$x=0.5$ or $x=-1.5$

We are given: $4x^2+4x-3=0$ Use the quadratic formula. $x=\frac{-4+\sqrt 4^2-4.4.(-3)}{2.4}$ $x=\frac{-4 \pm \sqrt 64}{8}$ $x=\frac{-1\pm 2}{2}$ $x=\frac{-1+2}{2}$ or $x=\frac{-1-2}{2}$ $x=0.5$ or $x=-1.5$