Algebrahard · Past Paper
The sum of a number and its reciprocal is 10/3. Find the number.
A3 or 1/3
B2 or 1/2
C4 or 1/4
D5 or 1/5
✓ Correct Answer: A — 3 or 1/3
x + 1/x = 10/3 → 3x^2 - 10x + 3 = 0 → (3x-1)(x-3) = 0 → x = 3 or 1/3.
Share this question