true

Take Class 12 Tuition from the Best Tutors

Affordable fees
1-1 or Group class
Flexible Timings
Verified Tutors

Search in

If (x+a)(x+1991) + 1 Can Be Factored As (x+b)(x+c) Where B,C Are Integers Then Find The Sum Of All Possible Integral Values Of A?

Sujoy Das

07/02/2018 2 0 View Comments

Answer:

Method 1:

x^2+(1991+a)x+1991a+1

Now for integers d should be either 0 or perfect square so,

(1991+a)^2-4*1991a-4

(1991-a)^2-4

(1989-a)(1993-a)

They both can be equal so for d = 0

a = 1989, a = 1993

Method 2:

b and c are roots

(-b+a) (-b+1991) +1 = 0

(-b+a) (-b+1991) = -1*1

a-b = -1 and 1991 - b = 1

a-b=1 and 1991-b = -1

2 values of a and b

a = 1989 and 1993 Sum = 3982.

2 Like 0 Dislike

Follow 4

Other Lessons for You

The Golden Rule of Accounting

The Golden Rule of Accounting: Debit The Receiver, Credit The Giver: This principle is used in the case of personal accounts. When a person gives something to the organization, it becomes an...

Kousiki Chakraborty

2 0

Semiconductors in a nutshell

What are semiconductors? Semicondutcors are substances which have conductivity in between conductors and insulators. Example: Germanium and Silicon. What are the types of semiconductors? Intrinsic semiconductors:...

Athira S N.

1 0

On GST road, There’s No Checking India

The ‘One Nation One Tax’ slogan isn’t just about uniform rate, it is also about removing check posts at borders, which often clog traffic for hours, delaying shipment of goods. While...

Fr Prashanth Reddy

12 0

Maths Done Right.

Maximum students waste those crucial few seconds calculating simple multiplication. Few tricks that might help saving 10-15mins..Remember, saving 10 mins is like gold in board examination. 1. Multiplying...

Tanmoy Saha

3 0

Learning tip

Life is a series of experiences, each one of which makes us bigger, even though sometimes it is hard to realize this. For the world was built to develop character, and we must learn that the setbacks and...

Khushboo Sah

1 0

Find Class XII Tuition near you

Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from Best Tutors on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you

Class 12 Tuition Questions

The concepts of electric field lines was introduced by a famous scientist __________ (Newton, Faraday, Einstein, Coulomb)

6 Answers

Which software and device should I use for online teaching?

34 Answers

What is the value of 7P6?

25 Answers

__________ believed in absolute time. (Einstein, Maxwell, Galileo, Galileo and Newton

7 Answers

Ampere -- second is the unit of a.) conductance. b.) power. c.) energy. d.) charge.

39 Answers

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

Select the best Tutor
Book & Attend a Free Demo
Pay and start Learning

Migrate

Class

Subject

Chapter

Migrate to

Concept Solution

Migration Successful

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

I am a Student I am a Tutor
Name*	Please enter your full name. Please enter institute name.
Email*	Please enter your email address.
Phone*	Please enter a valid phone number.
Location*	Please enter a pincode or area name.
City*	Please enter city name.
Category*	Please enter category.
Gender*	Male Female Please select your gender.
Email ID/ Mobile No.*	Please enter either mobile no. or email.
Enter Password*	Please enter OTP Please enter Password Sorry, this phone number is not verified, Please login with your email Id.