If t2+t+1=0 , prove (t+1/t)2+(t2+1/t2)2+..+(t27+1/t27)2=54, Mathematics

Assignment Help:

t=w,w2

L.H.S

(w+w2) + (w2 + w)2 ........

 1  + 1 .....

But every third term is of the form:

(w3n +w3n)2=22

There are nine such terms. Their sum is 36.

The remaining are one. Their sum is 18.

Adding them gives 54.


Related Discussions:- If t2+t+1=0 , prove (t+1/t)2+(t2+1/t2)2+..+(t27+1/t27)2=54

Find the ratio of line segment, Find the ratio in which the line segment jo...

Find the ratio in which the line segment joining A(6,5) and B(4,-3) is divided by the line y=2           (Ans:3:5) Ans :   Let the ratio be k:1 x = 4 k + 6/ k +1 y

Relative motion, how to find the minimum distance between any two particles...

how to find the minimum distance between any two particles which are in relative motion?

How to raise powers of monomials, How to raise Powers of Monomials ? To ...

How to raise Powers of Monomials ? To raise a monomial to a certain power: Step 1: Place the entire monomial inside parentheses, and place the desired power outside the paren

Proof of various integral facts- formulas, PROOF OF VARIOUS INTEGRAL FACTS/...

PROOF OF VARIOUS INTEGRAL FACTS/FORMULAS/PROPERTIES In this section we've found the proof of several of the properties we saw in the Integrals section and also a couple from t

Who made clothes for, on april 26, jonh dough wrote a check#374 to Miller P...

on april 26, jonh dough wrote a check#374 to Miller Pharmacy for $16.00 , is this a deposit or withdrawal

Differentiate functions f ( x ) = 15x100 - 3x12 + 5x - 46, Differentiate f...

Differentiate following functions. (a) f ( x ) = 15x 100 - 3x 12 + 5x - 46 (b) h ( x ) = x π   - x √2  Solution (a)    f ( x ) = 15x 100 - 3x 12 + 5x - 46 I

What is the objective of lipids metabolism, What is the objective of lipids...

What is the objective of lipids metabolism ? After studying this unit, you will be able to: 1. explain how fatty acids are oxidized for the production of energy, 2. describe

Natural exponential function , Natural exponential function : There is a e...

Natural exponential function : There is a extremely important exponential function which arises naturally in several places. This function is called as the natural exponential fun

Introduction to multiplication and division, INTRODUCTION :  When a Class ...

INTRODUCTION :  When a Class 5 child was given the problem 'If I paid Rs. 60 for 30 pencil boxes, how much did b pencil box cost?', he said it would be 60 x 30 = 1800. This

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd