- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Find the roots of the following quadratic equations by factorisation:

$100x^2 â€“ 20x+ 1 = 0$

Given:

$100x^2 – 20x+ 1 = 0$

To do:

We have to find the roots of the given quadratic equation.

Solution:

$100x^2 – 20x+ 1 = 0$

$100x^2-10x-10x+1=0$

$10x(10x-1)-1(10x-1)=0$

$(10x-1)(10x-1)=0$

$10x-1=0$ or $10x-1=0$

$10x=1$ or $10x=1$

$x=\frac{1}{10}$ or $x=\frac{1}{10}$

Hence, the roots of the given quadratic equation are $\frac{1}{10}$ and $\frac{1}{10}$.

- Related Articles
- Find the roots of the following quadratic equations by factorisation:$2x^2 â€“ x + \frac{1}{8} = 0$
- Find the roots of the following quadratic equations by factorisation:$2x^2 + x â€“ 6 = 0$
- Find the roots of the following quadratic equations by factorisation:(i) $x^2 -3x â€“ 10 = 0$(ii) $2x^2 + x â€“ 6 = 0$(iii) $\sqrt{2}x^2 + 7x + 5\sqrt{2} = 0$(iv) $2x^2 â€“ x + \frac{1}{8} = 0$(v) $100x^2 â€“ 20x+ 1 = 0$
- Find the roots of the following quadratic equations by the factorisation method:\( 21 x^{2}-2 x+\frac{1}{21}=0 \)
- Find the roots of the following quadratic equations by factorisation:$\sqrt{2}x^2 + 7x + 5\sqrt{2} = 0$
- Find the roots of the following quadratic equations by the factorisation method:\( 2 x^{2}+\frac{5}{3} x-2=0 \)
- Find the roots of the following quadratic equations by the factorisation method:\( 3 \sqrt{2} x^{2}-5 x-\sqrt{2}=0 \)
- Find the roots of the following quadratic equations by the factorisation method:\( \frac{2}{5} x^{2}-x-\frac{3}{5}=0 \)
- Find the roots of the following quadratic equations by the factorisation method:\( 3 x^{2}+5 \sqrt{5} x-10=0 \)
- Find the roots of the quadratic equations by using the quadratic formula in each of the following:\( \frac{1}{2} x^{2}-\sqrt{11} x+1=0 \)
- Find the roots of the quadratic equations by applying the quadratic formula.$2x^2 - x + 4 = 0$
- Find the roots of the quadratic equations by applying the quadratic formula.$2x^2 + x + 4 = 0$
- Find the roots of quadratic equations $6x^2-5x-21=0$.
- Find the roots of the quadratic equations by using the quadratic formula in each of the following:\( x^{2}+2 \sqrt{2} x-6=0 \)
- Find the roots of the quadratic equations by applying the quadratic formula.$4x^2 - 4\sqrt3x + 3 = 0$

Advertisements