3 years ago

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

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