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

4. Explain the Process—Finish filling in the steps your idea would have to go through to become a law at both the federal and state levels of government.

Evaluate the function: f (x)=4x-1. Find f (5)

When Elijah prayed, the fire of the Lord fell, consuming the sacrifice, wood, stones, dust, and water. True False

(29-(-7): = =a Look at picture

what is 1+1 the answer was 21

To walk to her friend's house, Cristal normally walks 63 yards north and 16 yards east as shown. How many yards shorter would it be if Julie took the diagonal s

1.What best describes George Washington's main military strategy? (5 Points) a. Rely on sneak attacks. b. Use the British weapons against them. c. Defeat the Br

who sings give Me More

Determine the unknown angle measures in the figure. m∠ 1= m∠ 2= m∠ 3= m∠ 4= m∠ 5=

5. Part A Which characteristic of the story most clearly indicates that it is Modern Gothic? a. It uses a setting that has undergone a dramatic change. b. It de