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
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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2775e8c-94c2-43ee-8379-e9f8aff0b154%2Fb614e18a-8cf6-4b69-b4d7-11771e7b5cc7%2Fp7edwt_processed.png&w=3840&q=75)
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2775e8c-94c2-43ee-8379-e9f8aff0b154%2Fb614e18a-8cf6-4b69-b4d7-11771e7b5cc7%2F6jx844a_processed.png&w=3840&q=75)
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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