Determine the truth set of the predicate: P(x): x € R/ x² − 3x + 1 = 0: 2 Solution: This is {x € R | x² − 3x + 1 = 0} = {x € R | x = ³±√5}. = {x € R | x = ³+√5 or³-√5] = {3+√5, 3-√5}. 2 2

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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 someone explain this in detail to me, I grasp the basics of it, I just dont understand where the square root of 5 came in?

Example 7
Determine the truth set of the predicate: P(x) : × € R ^ x² − 3x + 1 = 0:
Solution: This is {x € R | x² − 3x + 1 = 0} = {x € R | x = ³±√5}.
= {x € R | x = 3+√5 or³-√5} = {3+√5 3-√5}.
2
2
2
9 2
Transcribed Image Text:Example 7 Determine the truth set of the predicate: P(x) : × € R ^ x² − 3x + 1 = 0: Solution: This is {x € R | x² − 3x + 1 = 0} = {x € R | x = ³±√5}. = {x € R | x = 3+√5 or³-√5} = {3+√5 3-√5}. 2 2 2 9 2
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