Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
16 Feb 2021, 01:26
Kudos
Bookmarks
if \( x^2 + x + 1 = 0\)
\(x ^{2013} + x ^{2023} = ?\)
\(x ^{2013} + x ^{2023} = ?\)
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
16 Feb 2021, 10:48
Kudos
Bookmarks
x² + x + 1 = 0
Multiply (x-1) on both sides:
x³ - 1 = 0
So x³ = 1
So, x^2013 = (x³)^671 = 1
Also, x^2023 = (x³)^674 * x = 1*x = x
Thus, required answer = 1 + x
Just check the question. There should be another term present.
Posted from my mobile device
Multiply (x-1) on both sides:
x³ - 1 = 0
So x³ = 1
So, x^2013 = (x³)^671 = 1
Also, x^2023 = (x³)^674 * x = 1*x = x
Thus, required answer = 1 + x
Just check the question. There should be another term present.
Posted from my mobile device
ramlala
Joined: 22 Aug 2020
Last visit: 13 Dec 2022
Posts: 467
Own Kudos:
Given Kudos: 30
Location: India
Concentration: International Business, Finance
Schools: IIMA PGPX'23 INSEAD Jan'23 intake Sloan (MIT) ISB HEC Said
GPA: 4
WE:Project Management (Energy)
20 Feb 2021, 23:49
Kudos
Bookmarks
iatii
Hi iatii
x² + x + 1 = 0
Multiply (x-1) on both sides:
(x-1)*(x² + x + 1) = (x-1)*0
x³ + x² + x - x² - x - 1 = 0
x³ - 1 = 0
x³ = 1
x = 1
\(x ^{2013} + x ^{2023} = 1 ^{2013} + 1 ^{2023}\)
= 1 + 1
= 2
