Question on: JAMB Mathematics - 2000
A binary operation * is defined by a*b = ab. If a*2 = 2-a, find the possible values of a.
A
1, -1
B
1, 2
C
2, -2
D
1, -2
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Correct Option: D
a * b = ab
a * 2 = a2 = 2 - a
a2 + 2a - a - 2 = 0
a(a+2) - 1(a+2) = 0
(a-1)(a+2) = 0
a = 1, -2
a * 2 = a2 = 2 - a
a2 + 2a - a - 2 = 0
a(a+2) - 1(a+2) = 0
(a-1)(a+2) = 0
a = 1, -2
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