Solve the following

Question

If α,β are the roots of equation (k+1)x²−(20k+14)x+91k+40=0;where (α<β), k>0, then

a) the smaller root (α) lie in the interval 

b) the larger root (β) lie in the interval 

options for both parts, 

1) (4,7)

2) (7,10)

3) (10, 13)

4) none