Question

The sum of a number and six times its reciprocal is 10. Find the number​

Answer 1

Answer:

two solutions work: x = 5 + $\sqrt{19}$ and x = 5 - $\sqrt{19}$

Step-by-step explanation:

x + 6 ( 1/x ) = 10

x^2 + 6 = 10x

x^2 - 10x + 6 = 0

x = 5 + $\sqrt{19}$, 5 - $\sqrt{19}$