Find the quadratic equation whose roots are `tan ((pi)/(8))` and `tan ((5pi)/(8))`?

Explanation

To find the quadratic equation whose roots are \( \tan\left(\frac{\pi}{8}\right) \) and \( \tan\left(\frac{5\pi}{8}\right) \), we will follow these steps:

### Step 1: Identify the roots
Let the roots be \( \alpha = \tan\left(\frac{\pi}{8}\right) \) and \( \beta = \tan\left(\frac{5\pi}{8}\right) \).

### Step 2: Use the sum and product of roots
The quadratic equation can be expressed in the standard form:
\[
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