Question

If x +x =a has integral roots and a e N, then 'a' can not be equal to​

Answer 1

Step-by-step explanation:

Given x

2

−2x−n=0

The given equation has integral roots.

The sum of the roots =2

Let the roots be 1−k,k+1 , where k is a positive integer.

Product of the roots =1−k

2

=−n

⇒k

2

−1=n

n∈[5,100]

5≤n≤100

6≤n+1≤101

6≤k

2

≤101

⇒k

2

=9,16,25,36,64,49,64,81,100

For k=3,4,5,6,7,8,9,10

Hence, there will be 8 corresponding values of n.