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

explain the connection between factors, solutions, and x-intercepts.

What is the purpose of this document? Which text features help the document serve its purpose? How are ideas sequenced to achieve the purpose?

Out of 400 people sampled, 368 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. Give your an

here are 2 squares a and b the length of the side of square is is 50% of the length of the side of square B express the area of the shaded region

Amanda earned a score of 940 on a national achievement test that was normally distributed. The mean test score was 850 with a standard deviation of 100 If 1000

if ax+bx=a^2-b^2 then what is the value of x

This is a test...Whoever gets it right, will receive 5 stars, and a Thanks. You have 2 minutes. What is the bite force of a lion, compared to a chihuahua. Your

Triangle theoroms, what is the value of x ?

HiCan you help me with this ?thank you Have a nice day

Helppp me plissss no linkkkk ok