Find the values of a if `x^2-2(a-1)x+(2a+1)=0` has positive roots.

Explanation

To find the values of \( a \) for which the quadratic equation \( x^2 - 2(a-1)x + (2a+1) = 0 \) has positive roots, we will follow these steps:

### Step 1: Identify the coefficients
The given quadratic equation is in the standard form \( ax^2 + bx + c = 0 \). Here:
- \( a = 1 \)
- \( b = -2(a-1) = -2a + 2 \)
- \( c = 2a + 1 \)

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