branddemaster
branddemaster branddemaster
  • 24-02-2022
  • Mathematics
contestada

Twice the sum of a number and its reciprocal is 4. Find the number.​

Respuesta :

Аноним Аноним
  • 24-02-2022

Answer:

5 and negative 1?

Step-by-step explanation:

x+(1/x) = 4(x-(1/x)

The rest is just algebra.

x+(1/x) = 4(x-(1/x)

x + 1/x = 4 - 4/x

x + 5/x - 4 = 0

Multiplying both sides, we have:

x^2 - 4x + 5. = 0

Factoring:

(x+1) (x-5) = 0

Two solutions: 5 and -1.

Answer Link
levinsev000
levinsev000 levinsev000
  • 24-02-2022

the answer is 8

Step-by-step explanation:

Answer Link

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