Question

write the number of non negative integral solutions of x+2/ x^2+1 >1/2​

Answer 1

Answer:

The number of positive integral solutions of the equation x

1

+x

2

+x

3

+....+x

r

=n is

n−1

C

r−1

. ⋅ The number of non-negative integral solutions of the equation x

1

+x

2

+x

3

+....+x

r

=n is

n+r−1

C

r−1

.

Required number of non-negative integral solution is =

10+3−1

C

3−1

=

12

C

2