Let `a , ba n dc` be the three sides of a triangle, then prove that the equation `b^2x^2+(b^2=c^2-alpha^2)x+c^2=0` has imaginary roots.

Explanation

To prove that the equation \( b^2x^2 + (b^2 + c^2 - \alpha^2)x + c^2 = 0 \) has imaginary roots, we will analyze the discriminant of the quadratic equation.

### Step-by-step Solution:

1. **Identify the coefficients**:
The given quadratic equation is in the form \( Ax^2 + Bx + C = 0 \), where:
- \( A = b^2 \)
- \( B = b^2 + c^2 - \alpha^2 \)
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