- 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

# State whether the following quadratic equations have two distinct real roots. Justify your answer.

$ 2 x^{2}+x-1=0 $

Given:

\( 2 x^{2}+x-1=0 \)To do:

We have to state whether the given quadratic equations have two distinct real roots.

Solution:

$2 x^{2}+x-1=0$

Comparing with $a x^{2}+b x+c=0$, we get,

$a=2, b=1$ and $c=-1$

Discriminant $D=b^{2}-4 a c$

$=(1)^{2}-4(2)(-1)$

$=1+8$

$=9>0$

$D>0$

Hence, the equation $2 x^{2}+x-1=0$ has two distinct real roots.

Advertisements