Let G = {x ∈ R : x != −1} . Define △ on G by x△y = x + y + xy. (a) Show that △ gives a binary operation on G. b) Find the solution of the equation 2△x△3 = 7 in G.
Let G = {x ∈ R : x != −1} . Define △ on G by x△y = x + y + xy. (a) Show that △ gives a binary operation on G. b) Find the solution of the equation 2△x△3 = 7 in G.
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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Let G = {x ∈ R : x != −1} . Define △ on G by x△y = x + y + xy.
(a) Show that △ gives a binary operation on G.
b) Find the solution of the equation 2△x△3 = 7 in G.
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