2020
Mathematics
67ca00ce0c643c71d77dee1f
A binary operation x is defined by a x b = ab. 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: 1, -2
Explanation
a = b = a2 a + 2 = a2 .....(i) a + 2 = 2 - a..............(ii) a2 = 2 - a a2+ a - 2 = a2 + a - 2 = 0 = (a + 2)(a - 1) = 0 a = 1 or - 2
a = b = a2 a + 2 = a2 .....(i) a + 2 = 2 - a..............(ii) a2 = 2 - a a2+ a - 2 = a2 + a - 2 = 0 = (a + 2)(a - 1) = 0 a = 1 or - 2THIS WEEK's
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