A binary operation on the set of real numbers excluding -1 is such that sor all m, n ε ε R, m Δ Δ n = m + n + mn. Find the identity element of the operation...

A binary operation on the set of real numbers excluding -1 is such that sor all m, n $\epsilon$ R, m $\Delta$ n = m + n + mn. Find the identity element of the operation.

Answer Details

m $\Delta$ n = m + n + mn
m $\Delta$ e = e $\Delta$ m = m
m $\Delta$ e = m
m + e + me = m
e + me = m - m
e + me = 0
e(1 + m) = 0
e = $\frac{0}{1+m}$ = 0