Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - Writing Equations From Roots - Page 232: 13


$\begin{align*} \text{Sum: }& 2 \\\\ \text{Product: }& 1 \end{align*}$

Work Step by Step

Given the quadratic equation $ax^2+bx+c=0,$ the sum and product of its roots are given by the following ratios: \begin{align*} \text{Sum: }&-\dfrac{b}{a} \\\\ \text{Product: }&\dfrac{c}{a} .\end{align*} Hence, the sum and product of the roots of the given equation, $ x^2-2x+1=0 ,$ are \begin{align*} \text{Sum: }&-\dfrac{-2}{1} \\&= 2 \\\\ \text{Product: }&\dfrac{1}{1} \\&= 1 .\end{align*}
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