Question

The sum of a number and its recipe pal is 13/6. Find the number

Answer 1

According to the question,

$x + \frac{1}{x} = \frac{13}{6} \\6 {x}^{2} + 6= 13x \\ 6 {x}^{2} - 13x + 6 = 0 \\ 6 {x}^{2} - 4x - 9x + 6 = 0 \\ 2x(3x - 2) - 3(3x - 2) = 0 \\ (3x - 2)(2x - 3) = 0 \\ x = \frac{2}{3} ,x = \frac{3}{2}$