If `alpha,beta` are the roots of the equation `a x^2+b x+c=0,` then find the roots of the equation `a x^2-b x(x-1)+c(x-1)^2=0` in term of `alphaa n dbetadot`

Explanation

To find the roots of the equation \( ax^2 - bx(x-1) + c(x-1)^2 = 0 \) in terms of the roots \( \alpha \) and \( \beta \) of the equation \( ax^2 + bx + c = 0 \), we can follow these steps:

### Step 1: Expand the given equation
We start with the equation:
\[ ax^2 - bx(x-1) + c(x-1)^2 = 0 \]
Expanding \( -bx(x-1) \) gives:
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