If roots of equation `x^3-2c x+a b=0` are real and unequal, then prove that the roots of `x^2-2(a+b)x+a^2+b^2+2c^2=0` will be imaginary.

Explanation

To prove that the roots of the equation \( x^2 - 2(a+b)x + a^2 + b^2 + 2c^2 = 0 \) are imaginary given that the roots of the equation \( x^3 - 2cx + ab = 0 \) are real and unequal, we will follow these steps:

### Step 1: Analyze the first equation

The first equation is given by:

\[
x^3 - 2cx + ab = 0
...