Question

the sum of number and reciprocal is 10/3fine the number

Answer 1

Let required number is x,

x + 1/x = 10/3

x² + 1 = 10x/3

3x² - 10x + 3 = 0

3x² -9x - x + 3 = 0

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

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


x = 3 or x = 1/3



Required number is 3 or 1/3



I hope this will help you


(-:

Answer 2

Hiii friend,

Let the number be X .


Reciprocal of X is 1/X.


According to question,

X + 1/X = 10/3


X²+1 = 10X/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,


Number = X = 3




HOPE IT WILL HELP YOU...... :-)