Q.

Suppose a∈I and the equation (x-a) (x-5) = 3 has integral roots, then the set of values which ‘a ’ can take is:

Moderate

Unlock the Full Solution and Master the Concept

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya

a

ϕ

b

{-11, - 13}

c

{3,7}

d

{-3,-7}

answer is 3.

(Detailed Solution Below)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let m ∈I be a root of (x - a) (x-5) = 3.then(m-a) (m -5) = 3As m-a and m - 5 are integers, m−5=±1 or m−5=±3⇒m= 2, 4, 6, 8.Thus, a = 3,7.
ctaimg
Choose your Grade and Exam
edit icon

Connect with our

Expert Counsellors

access to India's best teachers with a record of producing top rankers year on year.

+91

We will send a verification code via OTP.

whats app icon