Write the dimensions of a and b in the relation `P = (b -x)^2/(at)` Where P is power, x is distance and t is time.

Explanation

To find the dimensions of \(a\) and \(b\) in the relation \(P = \frac{(b - x)^2}{at}\), where \(P\) is power, \(x\) is distance, and \(t\) is time, we will use dimensional analysis.

### Step-by-Step Solution:

1. **Identify the dimensions of the given quantities:**
- Power (\(P\)): The dimension of power is \([P] = [M L^2 T^{-3}]\).
- Distance (\(x\)): The dimension of distance is \([x] = [L]\).
- Time (\(t\)): The dimension of time is \([t] = [T]\).
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