An object starts from rest from the point A to rest at point B on the same straight line at a distance d. It moves over the first part of the distance with an acceleration `alpha m//s^(2)` and for the remainder the retardation `beta m//s^(2)`. Find the time taken to complete the journey.

Explanation

To solve the problem step by step, we will break down the motion of the object into two parts: the acceleration phase and the deceleration phase.

### Step 1: Understand the Motion
The object starts from rest at point A and accelerates towards point B, covering a distance \(d\). It accelerates with \( \alpha \, \text{m/s}^2 \) for the first part of the distance and then decelerates with \( \beta \, \text{m/s}^2 \) for the remaining distance.

### Step 2: Define Variables
Let:
- \( x_1 \) = distance covered during acceleration
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