1.

The sum of natural number and its reciprocal is 50 upon 7 find the numbers

Answer»

Answer:

7

Step-by-step explanation:

Let x be the required natural number.

According to question

x + 1/x = 50/7

7x^(2) + 7 = 50X

7x^(2) -50x + 7 = 0

7x^(2) - 49X - x + 7 = 0

7x ( x -7 ) - ( x - 7 ) = 0

( x - 7) ( 7x - 1) = 0

x = 7 or 1/7

Since, x is natural number.

Therefore, x cannot be EQUAL to 1/7.

Hence, 7 is the required number.



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