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Question
Write the following in roster form.
The set of all positive roots of the equation (x − 1)(x + 1)(x2 − 1) = 0
Solution
The set of positive roots of the equations
(x – 1)(x + 1)(x2 – 1) = 0
(x – 1)(x + 1)(x + 1)(x – 1) = 0
(x + 1)2 (x – 1)2 = 0
(x + 1)2 = 0 or (x – 1)2 = 0
x + 1 = 0 or x – 1 = 0
x = –1 or x = 1
A = {1}
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