Example 9 Find the truth set of P(x) : x EC^x² + 3x + 4 = 0. Solution: x² + 3x + 4 = 0 -3±√-7 X = 2 {x € C | x² + 3x + 4 = 0} = {−³+¹√², -3-√²} (1 = √−1). 2 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
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Can you provide a detailed explanation for the following two examples so I can attempt them myself:

 

Example 9
Find the truth set of P(x) : x € C^ x² + 3x + 4 = 0.
Solution: x² + 3x + 4 = 0 ⇒ x = −3±√√−7
2
{x € C | x² + 3x + 4 = 0} = { −3+√ī, −3−w√ī} (1 = √−1).
2 9
Transcribed Image Text:Example 9 Find the truth set of P(x) : x € C^ x² + 3x + 4 = 0. Solution: x² + 3x + 4 = 0 ⇒ x = −3±√√−7 2 {x € C | x² + 3x + 4 = 0} = { −3+√ī, −3−w√ī} (1 = √−1). 2 9
Example 10
Find the truth set of P(x) : x € R ^ x² < 25.
Solution: {x € R | x² < 25} = {x€R | −5<x< 5} = (−5, 5).
Transcribed Image Text:Example 10 Find the truth set of P(x) : x € R ^ x² < 25. Solution: {x € R | x² < 25} = {x€R | −5<x< 5} = (−5, 5).
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