Math, asked by laxmikuma03, 9 months ago

यदि एक संख्या और उसके व्युत्क्रम का योग 2 हो तो वह संख्या कितनी होगी​

Answers

Answered by monu4019
2

Answer:

let a num is x

then

its reciprocal is 1/x

sum of a num. and its reciprocal = 2

x + 1/x = 2

x² + 1 = 2x

x² - 2x + 1 = 0

x² - x - x + 1 = 0

x( x - 1 ) - 1 ( x - 1 ) = 0

( x - 1 )( x - 1 ) = 0

from here,

( x - 1 )² = 0

x = 1

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