Find the value of `k` for which the quadratic equation `(k+4)x^2+(k+1)x+1=0` has equal roots

Explanation

To find the value of \( k \) for which the quadratic equation

\[ (k+4)x^2 + (k+1)x + 1 = 0 \]

has equal roots, we will use the condition that for a quadratic equation \( ax^2 + bx + c = 0 \) to have equal roots, the discriminant must be zero. The discriminant \( D \) is given by:

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