0

Guest

Courses New

If x^2+x+1=0 then prove that (x+1/x)^2+(x^2+1/x^2)^2.........+(x^27+1/x^27)^2=54

If x^2+x+1=0 then prove that (x+1/x)^2+(x^2+1/x^2)^2.........+(x^27+1/x^27)^2=54

Grade:12

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
8 years ago
the result of the equation x^2+x+1=0 are the cuberoots of unity use that in the expression
you can write x+1/x = -1.Use this and you will get the answer

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More