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JAMB Mathematics 2020 Paper

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Question : 30

Total: 40

A binary operation x is defined by a x b = a

^b

. If a x 2 = 2 - a, find the possible values of a?

1, -2
2, -1
2, -2
1, -1

Solution:

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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