A binary operation x is defined by a x b = a(^b). If a x 2 = 2 – a, find the possible values of a?
-
A.
1, -2 -
B.
2, -1 -
C.
2, -2 -
D.
1, -1
Correct Answer: Option A
Explanation
a = b = a(^2)
a + 2 = a(^2)…..(i)
a + 2 = 2 – a…………..(ii)
a(^2) = 2 – a
a(^2)+ a – 2 = a(^2) + a – 2 = 0
= (a + 2)(a – 1) = 0
a = 1 or – 2
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