Question

the sum of a number and its reciprocal is 32/6. find the number ​

Answer 1

Answer:

x+1/x=10/3

By taking LCM

x²+1/x=10/3

By cross multiplication

10x=3x²+3

3x²-10x+3=0

By spliting the middle term

3x²-x-9x+3=0

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

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

x=3 , x= 1/3

Step-by-step explanation: