Assume the following three statements are true. p: For all real numbers x and y, if xy is transcendental, then x is transcendental or y is transcendental. q: The unknown a is a real number. r: The product (2a – 1)(a² +3) is transcendental. Show that (2a – 1) is transcendental or (a² +3) is transcendental.
Assume the following three statements are true. p: For all real numbers x and y, if xy is transcendental, then x is transcendental or y is transcendental. q: The unknown a is a real number. r: The product (2a – 1)(a² +3) is transcendental. Show that (2a – 1) is transcendental or (a² +3) is transcendental.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Assume the following three statements are true.
p: For all real numbers x and y, if xy is transcendental, then x is transcendental
or y is transcendental.
q: The unknown a is a real number.
r: The product (2a – 1)(a² +3) is transcendental.
Show that (2a – 1) is transcendental or (a² +3) is transcendental.
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