Question

The sum of a number and 6 times its reciprocal is 5. Find the number.

Answer 1

\[x+\frac{6}{x} = 5\]
\[ \frac{x^{2}+6}{x} = 5\]

Answer 2

x^2 + 6 =5x
x^2 - 5x + 6 =0
(x-3)(x-2) = 0
x = 3, 2