. Find the constant k such that the quadratic 2x^2 + 13x - 8x + 2x^2 + k has a double root.
\(4{x}^{2}+5x+k=0\).
Use discriminant so that \(\Delta = 0\).
\(25-4(k)(4)=0\)
\(16k=25\)
\(k=\frac{25}{16}\).