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Sergio039 [100]
3 years ago
14

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

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

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}

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