Show that the roots of the equation `(a^(2)-bc)x^(2)+2(b^(2)-ac)x+c^(2)-ab=0`
are equal if either `b=0` or `a^(3)+b^(3)+c^(3)-3acb=0`

Explanation

To show that the roots of the equation \((a^{2}-bc)x^{2}+2(b^{2}-ac)x+c^{2}-ab=0\) are equal if either \(b=0\) or \(a^{3}+b^{3}+c^{3}-3acb=0\), we need to analyze the discriminant of the quadratic equation. The roots of a quadratic equation are equal when the discriminant is zero.

### Step-by-step Solution:

1. **Identify the coefficients**:
The given quadratic equation can be written in the standard form \(Ax^2 + Bx + C = 0\), where:
- \(A = a^2 - bc\)
- \(B = 2(b^2 - ac)\)
...