The roots of the equation x + 1/x = 2 , are :
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Roots are 1 and 1
Step-by-step explanation:
1. X + 1/X = 2
= X + 1/X - 2= 0
=X² + 1 - 2X = 0* X ( by taking LCM)
= X ² + 1 - 2X = 0
= X² - 2X + 1 = 0
= X²- X - X + 1= 0
= X( X - 1 ) - X( X - 1 ) = 0
= ( X - 1 ) ( X - 1) = 0
.
. . X = 1
X = 1
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