Is {X : X2 – 5x – 6 = 0} = {2, 3} ? - Mathematics

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Sum

Is {x : x2 – 5x – 6 = 0} = {2, 3} ?

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Solution

x5 - 5x - 6 = 0
⇒ x2 - 6x + x - 6 = 0
⇒ x (x - 6) + 1 (x - 6) = 0
⇒ (x - 6) (x - 1) = 0
∴ Either x - 6 = 0 
i.e., x = 6
Or
x + 1 = 0
i.e. x = -1
∴ {x : x2 - 5x - 6 = 0} ≠ {2, 3}
In other words {x : x2 - 5x -6 = 0}
= {2, 3} is not true.

Concept: Cardinal Number of a Set
  Is there an error in this question or solution?

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 6 Sets
Exercise 6 (A) | Q 3.7 | Page 65
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