Question

The sum of no. and its reciprocal is 2 1/30 find the number

Answer 1

Hey friend here is ur answer :

2 1/30 = 61/30

I think it's correct.

Answer 2

$\huge \boxed{ \underline{ \underline{ \bf{Answer}}}}$

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Let the required number be x, Then

x + 1/x = 2 1/30

x²+1/x = 61/30

30x² + 30 = 61x

30x² - 61x + 30 = 0

30x² - 36x - 25x + 30 = 0

6x ( 5x - 6 ) - 5 ( 5x - 6 ) = 0

( 6x - 5 ) ( 5x - 6 ) = 0

6x - 5 = 0 or 5x - 6 = 0

x = 5/6 or x = 6/5

Hene, the required numbers are 5/6 or, 6/5.

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