CBSE Class 10 Answered
2x²-x+1/8 solve by completing square method
Asked by gurjaeharsh | 16 Jun, 2022, 13:11: PM
Given quadratic equation :- 2 x2 - x + (1/8) = 0 ........................(1)
LHS of above equation can be written in the form " a2 - 2ab + b2 = ( a - b )2 "
![begin mathsize 14px style 2 space x squared space minus space x space plus space left parenthesis 1 divided by 8 right parenthesis space space equals space open parentheses square root of 2 space x close parentheses squared space minus space open parentheses 2 space square root of 2 space x space cross times fraction numerator 1 over denominator 2 square root of 2 end fraction close parentheses space space plus space open parentheses fraction numerator 1 over denominator 2 space square root of 2 end fraction close parentheses squared end style](https://images.topperlearning.com/topper/tinymce/cache/4002232fabb3841bcfa4ef31b7c16c0f.png)
![begin mathsize 14px style 2 space x squared space minus space x space plus space left parenthesis 1 divided by 8 right parenthesis space space equals space open parentheses square root of 2 space x space minus space fraction numerator 1 over denominator 2 square root of 2 end fraction close parentheses squared end style](https://images.topperlearning.com/topper/tinymce/cache/4f8361d9f0d32e35b4299d669ab44b3f.png)
Hence eqn.(1) can be written as
![begin mathsize 14px style space open parentheses square root of 2 space x space minus space fraction numerator 1 over denominator 2 square root of 2 end fraction close parentheses space equals space 0 end style](https://images.topperlearning.com/topper/tinymce/cache/dcc1c02b9ad603f1c9b7a7928d4d6cbe.png)
From above expression, we get , x = (1/4)
Answered by Thiyagarajan K | 16 Jun, 2022, 14:29: PM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by gurjaeharsh | 16 Jun, 2022, 13:11: PM
CBSE 10 - Maths
Asked by humangisevda28 | 14 Mar, 2022, 19:17: PM
CBSE 10 - Maths
Asked by anjalisinghdps16 | 15 Sep, 2020, 23:49: PM
CBSE 10 - Maths
Asked by g.pavithran2002 | 06 Jul, 2020, 16:35: PM
CBSE 10 - Maths
Asked by labheshvaidya | 17 Sep, 2019, 12:04: PM
CBSE 10 - Maths
Asked by mayankgoransh0564 | 13 Jun, 2019, 21:14: PM
CBSE 10 - Maths
Asked by ajayrath7 | 22 Apr, 2019, 09:12: AM
CBSE 10 - Maths
Asked by miniprasad | 13 Oct, 2018, 15:12: PM
CBSE 10 - Maths
Asked by ratendra.johri | 30 May, 2018, 12:19: PM
CBSE 10 - Maths
Asked by Topperlearning User | 04 Nov, 2016, 09:59: AM