The discriminant of a quadratic equation is given below. Find the value of $c$ that guarantees the equation has exactly one real root.
\[
8^{2}-4 \times 8 \times c
\]

Answer

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Answer

Final Answer: $\boxed{2}$

Steps

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: $\boxed{2}$

The discriminant of a quadratic equation is given below. Find the value of $c$ that guarantees the equation has exactly one real root.\[8^{2}-4 \times 8 \times c\]

Answer

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The discriminant of a quadratic equation is given below. Find the value of $c$ that guarantees the equation has exactly one real root.
\[
8^{2}-4 \times 8 \times c
\]