Question

the sum of a number and its reciprocal is 10/ 3 find the numbers

Answer 1

The sum of a number and its reciprocal is 10/ 3 find the numbers

let the number be x

ACQ,

x + 1/x = 10/3

(x²+1)/x = 10/3

now lets cross multiply it........

3x² +3 = 10x

3x²*10x + 3 = 0

3x² -9x- x + 3 =0

(x-3) (x-(1/3)) = 0

hence x = 3 or 1/3

:)

Answer 2

Heya !!!




Let a number be X .



Reciprocal of X is 1/X.



According to question,




X + 1/X = 10/3




X² + 1 / X = 10/3




3 ( X² + 1) = 10X




3X² + 3 = 10X



3X² - 10X + 3 = 0




3X² - 9X - X + 3 = 0



3X ( X - 3 ) - 1 ( X - 3 ) = 0





( X -3) ( 3X -1) = 0



( X -3) = 0 OR (3X -1) = 0



X = 3 OR X = 1/3




Hence,


Numbers are 3 and 1/3.




★ HOPE IT WILL HELP YOU ★