krishnaswarrier krishnaswarrier

16-05-2019
Mathematics

contestada

(x^2+1/x^2)=38,find the value of x+1/x

Respuesta :

LammettHash LammettHash

16-05-2019

We have

[tex]\left(x+\dfrac1x\right)^2=x^2+\dfrac{2x}x+\dfrac1{x^2}=x^2+2+\dfrac1{x^2}[/tex]

and given that

[tex]x^2+\dfrac1{x^2}=38[/tex]

it follows that

[tex]\left(x+\dfrac1x\right)^2=40\implies x+\dfrac1x=\pm\sqrt{40}[/tex]

Answer Link

ACCESS MORE ACCESS MORE ACCESS MORE ACCESS MORE

Otras preguntas

You have been hired by bizcom, a business communications consultancy that services many clients in different industries throughout the united states, to it impr

Mr. Flores has a circular fountain with the radius of 5 feet. He plans on installing a brick path around the fountain.If each brick covers 2 ft.² how many brick

Summarize the effect of credit card interest on the real cost of items.

Without motivation nothing will get done in this world true or false

A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a

A batch of 330 samples of rejuvenated mitochondria contains 6 that are mutated (or defective). Two are selected from the batch, at random, without replacement.

Joshua has (10+6a^2-5a) dollars in his savings account. Maranda had (4a^2a+3) dollars in her saving account how much more money does Joshua have than maranda?

Jinjing loves Pottery Barn’s products, and she shops in the company’s stores, as well as on her desktop computer at home and her mobile phone when she travels.

Baldwin Company had the following balances and transactions during 2019: Beginning Merchandise Inventory as of January 1, 2019 125 units at $82 March 10 Sold

There is a current of 112 pA when a certain potential is applied across a certain resistor. When that same potential is applied across a resistor made of the id