Question

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

Answer 1

Step-by-step explanation:

10/3 = 3 and 1/3. There 10/3 is sum of the two numbers 3 and 1/3. Answer: 3 or 1/3. (3 & 1/3 are reciprocals of each others.

Answer 2

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

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