If the quadratic `x^(2) - 2x +k =0` has equal roots, then value of k is ______.

Explanation

To find the value of \( k \) for the quadratic equation \( x^2 - 2x + k = 0 \) to have equal roots, we can follow these steps:

### Step 1: Understand the condition for equal roots
A quadratic equation \( ax^2 + bx + c = 0 \) has equal roots if its discriminant \( D \) is equal to zero. The discriminant is given by the formula:
\[ D = b^2 - 4ac \]

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