Two consecutive even positive integers, what is the sum of the squares of which is 1060?

Asked by Last Modified  

1 Answer

Learn CLAT Coaching

Follow 0
Answer

Please enter your answer

Cambridge-Trained Ex-IITian Math Faculty for AS/A Level Math; IB Math; ISc Math and HSc Math

Let the two consecutive EVEN integers be 2x and 2x+2 Now, (2x)2 + (2x+2)2 =1060. Therefore, 4x2 + 4x2 + 8x+4 =1060.... because 8x2 + 8x+4 =1060 Dividing by 4, we get 2x2 + 2x+1 =265 or 2x2 + 2x-264 = 0 .......(1) Now, we find factors of 2 x (-264) = -528 which add upto +2 Let’s see: (+ 24) x (-22)...
read more
Let the two consecutive EVEN integers be 2x and 2x+2 Now, (2x)2 + (2x+2)2 =1060. Therefore, 4x2 + 4x2 + 8x+4 =1060.... because [ (a+b)2 = a2+2ab+b2] 8x2 + 8x+4 =1060 Dividing by 4, we get 2x2 + 2x+1 =265 or 2x2 + 2x-264 = 0 .......(1) Now, we find factors of 2 x (-264) = -528 which add upto +2 Let’s see: (+ 24) x (-22) = -528 Therefore, we write (1) as 2x2 + 24x-22x -264 = 0 2x(x+12)-22x(x+12)=0 (2x-22x)(x+12) =0 Therefore , 2x-22x = 0 OR x + 12 = 0 2x =22x OR x = -12 (we reject x = -12 because we know that the integers are positive) Therefore, x =11 Therefore, the integers are 2x = 22 and 2x+2 = 24. Therefore, the consecutive integers are 22 and 24. read less
Comments
Dislike Bookmark

Related Questions

Hi Which universities accepts the CLAT score in India? Thanks Jayant
Many colleges accept CLAT score they usually conduct there own exam too like UPES etc
Jayant
how admission can be taken in NLUs under the NRI sponsered seats? thanks
making required marks for NRI in clat exams
Manshi
Which is the best book for preparing for CLAT?
Being a mentor of Success Mantra, we can suggest you to read our books, as far as preparation of CLAT is concerned. As CLAT is all india exam, you must not take a chance and join us for either a regular classroom program or correspondance course.
Humaira
hello If equal marks are secured by candiates in CLAt exam then which candidates will be given preference for admission? soon answer will be appreciated.. regards Aditya
higher marks in legal aptitude,or higher age, or,computerized draw of lots
Aditya
Hi can anyone tell me what is the aggregate percentage requird for OBC non-creamy layer category for CLAT exam in post-grade law program? thanks
55%
Anu

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

National Parks in India
State Name of the Park Andaman and Nicobar Islands Campbell Bay National Park Galathea National Park Mahatma National Park Saddle Peak National...

Career Capital

0 0
View Comments0
Major Lakes of India
Name of the Lakes Notes Wular Lake Wular Lake is one of the largest freshwater lakes in Asia and the largest in India, is located in Jammu and Kashmir Loktak Lake Loktak...

Career Capital

0 0
View Comments0
Economy Terms - II
Defined Benefit Pensions: A pension plan that pays a specified monetary benefit, usually based on a pensioner’s years of service and their income at the time of retirement. Defined Contribution...
E

Eduangel

0 0
View Comments0
GK - River Projects of India
~ River Projects in India ~ Bhadra Project Bhadra Karnataka Bhakhra Nangal Project Sutlej Punjab,Himachal Pradesh ,Haryana, Rajsthan Bheema Project Pawana Maharashtra Chambal...

Career Capital

0 0
View Comments0
Classification of Law
Earlier Law was classified broadly into two categories first one civil law and the second one criminal law. But the philosopher like Austin etc. are not agreed with this concept, so a globalisation approach...
S

Siddhartha Singh Chandel

0 0
View Comments0

Recommended Articles

CLAT 2015 Exam: Everything you need to know

We got it. You want to become a lawyer and want to stand for the right, bring justice to the innocent victim and punish the wrong-doers. Did you know? The journey towards becoming a promising lawyer starts from a law entrance exam, named CLAT. Know everything about the CLAT exam, and get into one of the top law colleges...

Read full article >

8 Entrance exams widens career opportunities

Entrance exams and their scores are becoming mandatory especially for higher education. On completing school, students have to appear and crack the entrance exams in order to pursue advanced courses. Some are first step to bright career aboard, some for engineering or doctorate courses and so on. However, at the very...

Read full article >

Top 7 Law Colleges in India

Looking to join the legal profession? If yes, well we have listed few recognized and top ranking law institutes in India. These institutes are well-known for producing excellent lawyers year after year. Once you have decided to become a lawyer, it is impertinent that you get the best legal education from one of the top...

Read full article >

Revision Techniques to Improve Learning during...

Students Preparing for Exams are always bogged by Revision to be completed and how much to Revise. I had found these Revision Techniques to be profound in actual getting good exams scores during my school days. Let us see what effective Revision Techniques can be used to improve Learning 1) If Time is King, an...

Read full article >

Find CLAT Coaching Classes near you
CLAT Coaching Classes in Delhi
CLAT Coaching Classes in Bangalore
CLAT Coaching Classes in Mumbai
CLAT Coaching Classes in Kolkata
CLAT Coaching Classes in Hyderabad
CLAT Coaching Classes in Pune
CLAT Coaching Classes in Chandigarh
CLAT Coaching Classes in Chennai
CLAT Coaching Classes in Jaipur
CLAT Coaching Classes in Lucknow
Online CLAT Coaching

Looking for CLAT Coaching Classes?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you