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

What percentage of the soda purchased was cola, 3/5 of the soda purchased a...

3/5 of the soda purchased at the football game was cola. What percentage of the soda purchased was cola? Change the fraction to a decimal through dividing the numerator through

Activities to develop ability to classify, Let us now look at some activiti...

Let us now look at some activities that can be organised with preschoolers to develop their ability to classify. 1. You could start by giving children different materials to pla

Algebra2;, log6 X + log6 (x-5) = 1

log6 X + log6 (x-5) = 1

Arc length - applications of integrals, Arc Length - Applications of integr...

Arc Length - Applications of integrals In this part we are going to look at determining the arc length of a function.  As it's sufficiently easy to derive the formulas that we'

What is the vertex form for a quadratic equation, What is the Vertex Form f...

What is the Vertex Form for a Quadratic Equation ? The vertex form for a quadratic function is as follows: f(x) = a(x - h) 2 + k The graph of this function Is a parabola whos

Geometry , solve for x and y 2x+3y=12 and 30x+11y=112

solve for x and y 2x+3y=12 and 30x+11y=112

Graph f(x) = ex and g(x) = e- x - common graph, Graph f ( x ) = e x and g ...

Graph f ( x ) = e x and g ( x ) = e - x . Solution There actually isn't a lot to this problem other than ensuring that both of these exponentials are graphed somewhere.

A fire in a building b is reported on telephone, A fire in a building B is ...

A fire in a building B is reported on telephone to two fire stations P and Q, 10km apart from each other on a straight road.  P observes that the fire is at an angle of 60 o to th

Estimate percent of the babies born among 6 and 8.5 pounds, 25% of babies b...

25% of babies born at Yale New Haven Hospital weigh less than 6 pounds and 78% weigh less than 8.5 pounds. What percent of the babies born at Yale New Haven Hospital weigh among 6

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