Hint:수+ a. Find the value of +. Suppose the equation 5x² + x - 3 = 0 has roots r and s. %3D 1 1 1 Hint: r 1 r+S + - = S S rs b. Find the value of r² – s². Hint: (r + s)(r – s) = r² – rs + rs - s? = r? - s?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
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Suppose the equation 5x² + x – 3 = 0 has roots r and s.
%3D
1
1
1
1
a. Find the value of +.
Hint: -
r+S
+ --
S
rs
b. Find the value of r² – s².
Hint: (r + s)(r – s) = r² – rs + rs - s²
= r? – s?
%3D
Transcribed Image Text:Suppose the equation 5x² + x – 3 = 0 has roots r and s. %3D 1 1 1 1 a. Find the value of +. Hint: - r+S + -- S rs b. Find the value of r² – s². Hint: (r + s)(r – s) = r² – rs + rs - s² = r? – s? %3D
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