Solve the equation `x^2+p x+45=0.` it is given that the squared difference of its roots is equal to 144

Explanation

To solve the equation \( x^2 + px + 45 = 0 \) given that the squared difference of its roots is equal to 144, we can follow these steps:

### Step 1: Identify the roots
Let the roots of the equation be \( \alpha \) and \( \beta \).

### Step 2: Use Vieta's formulas
According to Vieta's formulas:
- The sum of the roots \( \alpha + \beta = -\frac{p}{1} = -p \)
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