Question

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

Answer 1

Answer:

Please see the attachment

Answer 2

a=2/3

Step-by-step explanation

In this question,

a*b=ab

⇒a*2=2a............(1)

Also ,it is given that,a*2=2-a...........(2)

From eq.(`1) and (2),

⇒2a=2-a

⇒3a=2

⇒a=2/3