Question

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

Answer 1

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Answer 2

✨Answer:

Your answer is 3 and 1/3.

✨Step-by-step explanation:

Let no be x.

Then,

x +1/x = 10/3

x^2 +1/x = 10/3

x^2 +1 = 10x/3

3(x^2 +1) = 10x

3x^2 +3 = 10x

3x^2 - 10x + 3 = 0

3x^2 - 9x - x + 3 = 0

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

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

x = 1/3 or x = 3

Hence, the no is 3 or 1/3.

(note : both the cases are true)