Question

A binary operation * is defined by a*b = ab. If a*2 = 2-a, find the possible values of a.

Answer 1

The possible vale of 'a' is $\dfrac{2}{3}$.

Step-by-step explanation:

First, we should know about the binary operators.

• A binary operator work between two operands. It can't applied less than or more than two operands. For example '+', '-', $'\times'$, $\div$ etc. All of these are binary operators.

Since, we are given a*b = ab

• It means that the binary operator is $'\times'$.

So, we put the multiplication operator as $'\times'$ in place of binary operator '*' in the expression a*2 = 2 - a

• Thus, the expression is converted to a \times 2 = 2 - a

We get as,

• 2a = 2 - a

        3a = 2

          a = $\dfrac{2}{3}$

This is the possible vale of 'a'.