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

Otras preguntas

What factor ended the Mongol rule of Russia?
After 5 years of earning interest at an annual rate of 3% an investment has earned $950 in interest. To the nearest whole dollar, determine the amount of the in
"to travel" is what form of speech
help ! 7p^2-38p-24=0
background information about an area of children and women face serious problems when they become refugees?
Which verb best completes the sentence? En mi opinión, lo mejor es _________ tu información personal. guardar dar compartir revelar
What equation do I need to use?
!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The perimeter of a parallelogram is 72 m. The width of the parallelogram is 4 m less than its length. Find the length and the width of the parallelogram.
Karl measured the wingspan of the butterfly and the moth shown below. How many times larger is the moth than the butterfly. butterfly 3 1/4in. 3 1/2in.