Q.

Total number of values of ‘a’ so that x2–x–a = 0 has integral roots, where aN and 6≤a≤100 is 

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

answer is 8.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

The given equation is x2-x-a=0

Given that the roots of the above equaiton are integers, 

it implies that a must be integer, and discriminant must be perfect square

b2-4ac=1-4-a=4a+1

4a+1 must be perfect sqaure only when a=6,12,20,30,42,56,72,90

Therefore,the number of values of a is 8

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon