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

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.

Posted Date: 3/7/2013 6:24:07 AM | Location : United States







Related Discussions:- If t2+t+1=0 , prove (t+1/t)2+(t2+1/t2)2+..+(t27+1/t27)2=54, Assignment Help, Ask Question on If t2+t+1=0 , prove (t+1/t)2+(t2+1/t2)2+..+(t27+1/t27)2=54, Get Answer, Expert's Help, If t2+t+1=0 , prove (t+1/t)2+(t2+1/t2)2+..+(t27+1/t27)2=54 Discussions

Write discussion on If t2+t+1=0 , prove (t+1/t)2+(t2+1/t2)2+..+(t27+1/t27)2=54
Your posts are moderated
Related Questions
Find the  least  number that  is  divisible by all  numbers between 1  and  10  (both inclusive). Ans: The required number is the LCM of 1,2,3,4,5,6,7,8,9,10 ∴ LCM = 2  × 2

Give some children around you a task in mathematics. The task should be in an area in which they' have not been given a large dose of algorithms and strategies. Do all of them foll

What is the Chain Rule?

Independent and Dependent Events Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event

Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (u ) du,     where, u = g ( x ) we can't do the following integrals through general rule. This looks considerably

1.  In 1900, a certain country's population was 77,977,459 and it's area was 2,821,924 square miles, In 2000, the country's population was 283,575,229 and its area was 3,551,003 sq

Test of hypothesis about the population mean When the population standard deviation (S) is identified then the t statistic is defined as             t = ¦(x¯ - µ)/ S x¯ ¦

Explain Graphing Equations with a Negative Slope? If the slope is a negative fraction, place the negative sign on either the numerator or the denominator. Example graph y = -2/


Table shows the productivity for the countries Pin and Pang. 1) If the working population of Pin and Pang are both 6 million, divided equally between the two industries in