- 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
Solve the following quadratic equation by factorization:
$6x^2\ +\ 11x\ +\ 3\ =\ 0$
Given:
Given quadratic equation is $6x^2\ +\ 11x\ +\ 3\ =\ 0$.
To do:
We have to solve the given quadratic equation by factorization.
Solution:
$6x^2\ +\ 11x\ +\ 3\ =\ 0$
$6x^2+9x+2x+3=0$
$3x(2x+3)+1(2x+3)=0$
$(3x+1)(2x+3)=0$
$3x+1=0$ or $2x+3=0$
$3x=-1$ or $2x=-3$
$x=\frac{-1}{3}$ or $x=\frac{-3}{2}$
The roots of the given quadratic equation are $\frac{-1}{3}$ and $\frac{-3}{2}$.
Advertisements