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A quadratic equation is a second-degree polynomial equation that can be expressed in the standard form: \[ ax^2 + bx + c = 0 \] where: - \( x \) represents the variable, - \( a \), \( b \), and \( c \) are coefficients, - \( a \neq 0 \) (if \( a \) were 0, the equation would be linear).