Question

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

Answer 1

two solutions work: x = 5 +
`√(19)` and x = 5 -
`√(19)`

Explanation:

x + 6 ( 1/x ) = 10

x^2 + 6 = 10x

x^2 - 10x + 6 = 0

x = 5 +
`√(19)`, 5 -
`√(19)`