Arzeebo Arzeebo

01-02-2016
Mathematics

contestada

x+ 1/x =5 what is the value x²+1/x²?

Respuesta :

Billymkhoi Billymkhoi

01-02-2016

x+ 1/x= 5
⇒ (x+ 1/x)^2= 5^2
⇒ (x+ 1/x)^2= 25
⇒ x^2+ 2(x)(1/x)+ 1/x^2= 25
⇒ (x^2+ 1/x^2)+ 2*1= 25
⇒ x^2+ 1/x^2= 25 -2
⇒ x^2+ 1/x^2= 23

The final answer is 23~

Answer Link

Otras preguntas

Which of the following statements describes Earl Warren's judicial philosophy? A. Warren believed the Court had to consider the public interest as well as the

Imagine you are planning to buy stock. What company would you consider and why?

Explain why the question "How many colors are there in the United States flag?" is NOT a statistical question. a) There are very few possible answers. b) The an

Do business partners earn equal profit?

When the numerator and denominator have only 1 as a common factor

Signals travel to the brain over a bundle of tissue called stem nerves. True False

A boy pushes on a wagon so that it accelerates at a rate of 0.50 m/s2. The wagon has a mass of 24 kg. What is the magnitude of the boy's pushing force? (Ignore

IS The United States is the leading supplier of fossil fuels. a. True b. False

1,000 pounds > < = 1 ton

A result of Japan's attack on Pearl Harbor was a. The US formed a pact with Indichina b. the US formed a pact with Germany against Japan c. thousands of Amer