Step-by-Step Examples: Identifying coefficients ($a$, $b$, $c$), substituting them into the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 – 4ac}}{2a}$, and calculating the solutions.

The Discriminant: The term $b^2 – 4ac$. A positive discriminant means two real roots, zero means one root, and a negative value means no real roots.

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