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...
icon
Related questions
Question

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).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning