Tamil Nadu Board of Secondary EducationHSC Arts Class 11th
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Write the following in roster form. The set of all positive roots of the equation (x − 1)(x + 1)(x2 − 1) = 0 - Mathematics

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Sum

Write the following in roster form.

The set of all positive roots of the equation (x − 1)(x + 1)(x2 − 1) = 0

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Solution

The set of positive roots of the equations

(x – 1)(x + 1)(x2 – 1) = 0

(x – 1)(x + 1)(x + 1)(x – 1) = 0

(x + 1)2 (x – 1)2 = 0

(x + 1)2 = 0 or (x – 1)2 = 0

x + 1 = 0 or x – 1 = 0

x = –1 or x = 1

A = {1}

Concept: Cartesian Product
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APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 11th Mathematics Volume 1 and 2 Answers Guide
Chapter 1 Sets, Relations and Functions
Exercise 1.1 | Q 1. (ii) | Page 7
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