Step 1 :The discriminant of a quadratic equation is given by the formula \(b^{2}-4ac\). If the discriminant is equal to zero, the quadratic equation has exactly one real root. Therefore, we need to solve the equation \(8^{2}-4 \times 8 \times c = 0\) for c.
Step 2 :Solving the equation gives us \(c = 2\). This means that if \(c = 2\), the quadratic equation will have exactly one real root.
Step 3 :Final Answer: \(\boxed{2}\)