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CBSE Class 10 Answered

2x²-x+1/8 solve by completing square method
Asked by gurjaeharsh | 16 Jun, 2022, 01:11: PM
Expert Answer
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
 
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
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
 
From above expression, we get ,  x = (1/4)
 
Answered by Thiyagarajan K | 16 Jun, 2022, 02:29: PM
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