Find the value of k so that the equation `2x^(2)-5x+k=0` has two equal roots.

Explanation

To find the value of \( k \) so that the equation \( 2x^2 - 5x + k = 0 \) has two equal roots, we can follow these steps:

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

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