Question

find the dimensional formula​

Answer 1

W = A +x/B

[Work] = [ML²T-²]

By principal of homogeneity we know, the dimensions of physical quantities on LHS is equal to the dimensions of physical quantities in RHS and only like quantities can be added or subtracted.

So

[A] = [Work] = [ML²T-²]

Now,

[A] = [x/B]

[ML²T-²] = [L/B]

[B] = [L/ML²T-²]

[B] = [M-¹L-¹T²]