Question

The sum of a number and its reciprocal is 50 7 . Find the number.

Answer 1

hope it us usefulllllllllll

Answer 2

Answer:

the number is 7 or 1/7

Step-by-step explanation:

let the number be x

x + (1/x) = 50/7

=> ((x^2) + 1)/x = 50/7

=> 7((x^2)+1) = 50x

=> 7x^2 + 7 = 50x

=>7x^2 - 50x + 7 = 0

by splitting the middle term, we get:

7x^2 - 49x - 1x + 7 = 0

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

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

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

by zero product rule:

either      7x-1 = 0            or             x-7 = 0

=>               7x = 1             or             x = 7

=>                x = 1/7           or             x = 7

Hope this would help . . . !!