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A binary operation on the real set of numbers e... - JAMB Mathematics 2008 Question

A binary operation on the real set of numbers excluding -1 is such that for all m, n ∈ R, mΔn = m+n+mn. Find the identity element of the operation.
A
1
B
zero
C
-1/2
D
-1
correct option: b

mΔn = m+n+mn

Let e be the identity element

∴mΔe = eΔm = m

m+e+me = m

e+me = m-m

e+me = 0

e(1+m) = 0

e = 0 / (1+m)

e = 0

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