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Solution for Find the roots of the following quadratic equations by factorisation: 100x^2 – 20x + 1 = 0 - CBSE Class 10 - Mathematics

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Question

Find the roots of the following quadratic equations by factorisation: 100x2 – 20x + 1 = 0

Solution

100x2 – 20x + 1

= 100x2 – 10x - 10x + 1

= 10x(10x - 1) -1(10x - 1)

= (10x - 1)2

Roots of this equation are the values for which (10x - 1)2 = 0

∴ (10x - 1) = 0 or (10x - 1) = 0

⇒ x = 1/10 or x = 1/10

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2014 to Current)
Chapter 4: Quadratic Equations
Ex.4.2 | Q: 1.5 | Page no. 76
Solution Find the roots of the following quadratic equations by factorisation: 100x^2 – 20x + 1 = 0 Concept: Solutions of Quadratic Equations by Factorization.
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