2012 · Q4
The sum of a number and its reciprocal is 10/3 then the numbers are:
Elementary MathematicsAlgebra
- A3, 1/3
- B3, -1/3
- C-3, 1/3
- D-3, -1/3
Explanation
x + 1/x = 10/3 gives 3x^2 - 10x + 3 = 0, i.e. (3x-1)(x-3) = 0, so x = 3 or x = 1/3.
The sum of a number and its reciprocal is 10/3 then the numbers are:
Explanation
x + 1/x = 10/3 gives 3x^2 - 10x + 3 = 0, i.e. (3x-1)(x-3) = 0, so x = 3 or x = 1/3.