Question

the solution set of the equation x2 – 4=0 in roster form is​

Answer 1

SOLUTION

TO DETERMINE

The solution set of the equation x² – 4 = 0 in roster form

CONCEPT TO BE IMPLEMENTED

SET :

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

EVALUATION

Let S be the given set

Then

S = { The solution set of the equation x² – 4 = 0 }

Now

x² – 4 = 0

⇒ ( x + 2 ) ( x - 2 ) = 0

⇒ x = - 2 , 2

Thus we get

S = { - 2 , 2 }

FINAL ANSWER

Hence the given set in roster form is { - 2 , 2 }

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