Mathematics

Write the following set in roster (Tabular) form :

A2 = {x : x2 - 4x - 5 = 0 }

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Answer

A2 = {x : x2 - 4x - 5 = 0 }

⇒ x2 - 5x + x - 5 = 0

⇒ x (x - 5) + 1(x - 5) = 0

⇒ (x - 5) (x + 1) = 0

⇒ (x - 5) = 0 or (x + 1) = 0

⇒ x = 5 or x = -1

A2 = {5, -1}

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