Answer:
x=2/3 or x=3/2
Step-by-step explanation:
x + (1/x) = 13/6
(x2 + 1)/x = 13/6
6x2 – 13x + 6 = 0
6x2 – 9x – 4x + 6 = 0
(3x – 2) (2x – 3) = 0
x = 2/3 or x = 3/2
Step-by-step explanation:
Let,
Number = x
x + 1/x = 13/6
x² + 1/x = 13/6
6(x² + 1) = 13(x)
6x² + 6 = 13 x
6x² - 13x + 6 = 0
6x² - (9x + 4x) + 6 = 0
6x² - 9x - 4x + 6 = 0
(3x - 2)(2x - 3) = 0
x = 3/2 & 2/3
Hence,
The number would be ⅔ or ³/2
