Mathematics

List the elements of the following set :

{ x : x2 - 2x - 3 = 0 }

Sets

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Answer

{ x : x2 - 2x - 3 = 0 }

x2 - 2x - 3 = 0

x2 - 3x + x - 3 = 0

(x2 - 3x) + (x - 3) = 0

x (x - 3) + 1 (x - 3) = 0

(x - 3)(x + 1) = 0

x - 3 = 0 or x + 1 = 0

x = 3 or x = -1

Hence, the elements are 3 and -1

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