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