Question

The binary operation □ is defined as a + b = ab+(a+b), where a and b are any two real numbers. The value of the identity element of this operation, defined as the number x such that a □ x = a, for any a, is ?

Answer 1

`x = 0`

Explanation:

If `a square x =a` then `ax+a+x=a` or

`(a+1)x=0` If this should occur for all `a` then `x = 0`