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List the Elements of the Following Sets : {X : X2 – 2x – 3 = 0} - Mathematics

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Sum

List the elements of the following sets:

{x : x2 – 2x – 3 = 0}

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Solution

{x : x2 – 2x – 3 = 0}

x2 - 2x - 3 = 0

⇒ x2 - 3x + x - 3 = 0

⇒ x (x-3) + 1 (x-3) = 0

⇒ (x+1) (x - 3) = 0

∴ Either x - 3 = 0  x

x = 3

Or

x + 1 = 0

x = -1

∴ Elements of the set {x : x2 - 2x - 3 = 0} are 3 and -1

Concept: Representation of a Set
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 6 Sets
Exercise 6 (A) | Q 5.1 | Page 65
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