Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.1 - Quadratic Functions and Models - 3.1 Exercises - Page 249: 47


Visually, the parabola intersects the x-axis in two points: $x-1$ and $x=3$. The x-intercepts are: $(-1,0)$ and $(3,0)$ Algebraically: the x-intercepts are $(3,0)$ and $(-1,0)$

Work Step by Step

$f(x)=0$ $x^2-2x-3=0~~$ ($a=1,b=-2,c=-3$): $x=\frac{-(-2)±\sqrt {(-2)^2-4(1)(-3)}}{2(1)}=\frac{2±\sqrt {16}}{2}=\frac{2±4}{2}=1±2$ $x=3$ or $x=-1$ x-intercepts: $(3,0)$ and $(-1,0)$
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