If x^2+x+1=0, find the value of (x+1/x) 〖+(x+1/x)〗^2+(x^2+1/x^2 )^2+⋯+(x^1011+1/x^1011 )^2.

If x^2+x+1=0, find the value of (x+1/x) 〖+(x+1/x)〗^2+(x^2+1/x^2 )^2+⋯+(x^1011+1/x^1011 )^2.

If x^2+x+1=0, find the value of (x+1/x) 〖+(x+1/x)〗^2+(x^2+1/x^2 )^2+⋯+(x^1011+1/x^1011 )^2. National Standard Examination in Junior Science - Mathematics Practice Questions and Solutions :: Link for NSEJS Math Practice Problems – SET 1A (pdf) : https://smallpdf.com/file#s=c0b675da-... Link for NSEJS Math Practice Problems – SET 1B (pdf) : https://smallpdf.com/file#s=da299a26-... Enjoy more than 1300 problems and solutions with 29 Playlists by clicking on the Link below ::    / @iqmathsciencelogicalreason2770   ~~~~SUBSCRIBE FOR MORE PROBLEMS AND SOLUTIONS~~~~ ART OF MATHEMATICS PROBLEM SOLVING (AOMPS) My YouTube Channel is to assist students in practicing all types of Olympiad Problems from Preliminary IQ level to Advanced IQ Level. "Education is not the learning of facts, but training the mind to think" .. Albert Einstein. Practice selective non-routine Mathematics to enhance thinking ability from this YouTube Channel. Get success in Higher Level Prestigious Competitive/ College Entrance Examinations. Like, Subscribe and Share to all Mathematics Lovers' of Grade 7, 8, 9, 10, 11, 12 and their parents . Your valuable opinions/suggestions/Solutions/Questions for improvisation are always welcomed. SELF STUDY IS THE BEST STUDY. SELF-STUDY, IN A SENSE OF LEARNING BY YOURSELF WITHOUT ANYBODY TEACHING YOU ANYTHING, HAS AN ENORMOUS VALUE. Combined Practice for NMTC, SASMO, NTSE, SEAMO, NSEJS, AMC, PRMO, HKIMO, MKC, JEE (Main & Adv), TIMO, BEST, PIMSO Math, CAT, SAT, MAA AMC, ISI/CMI Admission Test, AIMO, DOKA, WMI, Singa Math, AIME, RMO, CMO, SMO, INMO, IMO etc. IQ Science and Logical Reasoning will be posted only after achieving 10000 SUBSCRIBERS. Problems useful for:: Olympiad Mathematical Question Preparation for Math Olympiad Olympics Math activities Olympics Math Competition Math Olympiad Training Olympiad Mathematics Math Olympics Olympiad Mathematics Competition Olympiad exam sample papers Math Olympiad sample questions British Math Olympiad Olympics Mathematics College Entrance Exam Problems of my channel has been taken from :: National Talent Search Examination - NTSE - India Singapore and Asian Schools Math Olympiad - SASMO - Singapore National Mathematics Talent Contest - NMTC - India South East Asian Mathematical Olympiad - SEAMO - Singapore National Standard Examination in Junior Science - NSEJS - India Australian Mathematics Competition - AMC - Australia Pre-regional Mathematical Olympiad - PRMO - India MAA American Mathematics Competition - MAA AMC - America Indian Statistical Institute Admission Test - India Hong Kong International Mathematical Olympiad - HKIMO - Hong Kong TIMO - Thailand Chennai Mathematical Institute Admission Test - India Philippine International Math and Science Olympics - PIMSO - Philippine JEE Main - India Math Kangaroo Competition Bose Einstein Scholarship Test - (BEST) - India Asia International Mathematical Olympiad - AIMO DOKA - Singapore JEE Advanced - India World Mathematics Invitational - WMI SIMOC - Singapore Singa Math - Singapore RMO - India SMO - Singapore AIME - America CMO - Canada INMO - India International Mathematical Olympiad - IMO Objectives of my channel :: i) To train the mind of students for enhancing thinking ability. ii) To help the students who can't afford expensive coaching. iii) Try to render Art of Mathematics Problem Solving more interesting and powerful to all. iv) Try to make the learner an expert from a beginner. v) To render non-routine mathematics problems for the future research works. God bless you Stay safe and well.