21x² - 2x + 1/21 = 0, find the roots of the quadratic equation by the factorisation method

Solution:

Given, the quadratic equation is 21x² - 2x + 1/21 = 0.

We have to find the roots of the equation by factorisation method.

The equation can be written as

(1/21)441x² - 42x + 1 = 0

On factoring,

441x² - 21x - 21x + 1 = 0

21x(21x - 1) - (21x - 1) = 0

(21x - 1)(21x - 1) = 0

Now, 21x - 1 = 0

21x = 1

x = 1/21

Therefore, the roots of the equation are 1/21 and 1/21.

✦ Try This: Determine the roots of the equation x² - 2x - 10 = 0 by factorisation method

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 4

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NCERT Exemplar Class 10 Maths Exercise 4.3 Problem 2 (v)

21x² - 2x + 1/21 = 0, find the roots of the quadratic equation by the factorisation method

Summary:

The roots of the quadratic equation 21x² - 2x + 1/21 = 0 by the factorisation method are 1/21 and 1/21

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