Mathematics
List the elements of the following set :
{ x : x2 - 2x - 3 = 0 }
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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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