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

PPPLLLSSS BRAINLIEST WILLL BE GIVEN Which statement is true of the Congress established by the Articles of Confederation? It had little power. It had the power

Office is the planning implementing and controlling center of the organization. Justify Its a question of account

Read the introduction. Home computers need anti-virus software. Internet searches, music downloads, and social media browsing all put home computers at risk of

Lydia solved the inequality 14<−4a−8 for a and is now trying to determine which numbers satisfy this inequality. Move the values of a that satisfy this linea

Write a linear function f with the values f (0) =4 and f(3)=-8

Paige earned $15.50 per hour. She received a 10% raise. Paige worked 10 hours at her new salary. How much did Paige earn?

I need sum help plz .....

Lisa is making cookies to sell at the annual Dirt Bike Competition. A dozen oatmeal cookies require 3 cups of flour and 2 eggs. A dozen sugar cookies require 4

Two different suppliers are competing to supply a particular part for a new Boeing airliner. The Japanese supplier charges J(n) dollars for n parts whereas the

if x is a number , which expression represents the statement below 4 less than product of 2 and a number