Question

the sum of a number and it's reciprocal is10/3.find the number.

Answer 1

Let the number be x
Then according to ques..
x + 1/x = 10/3
3x² + 3 = 10x
3x² - 10x + 3 = 0
By quadratic formula
x = 10 ± √ 100 - 3×3×4 / 6
x = 10 ± √ 100 - 36 / 6
x = 10 ± √64/ 6
x = 10 ± 8/6
By taking + sign

x = 18/6 = 3

Now by taking - sign

x = 2/6 = 1/3

So the number is 3 or 1/3 ....

Hope it will be contented....