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A quadratic equation is a second-degree polynomial equation in a single variable with the general form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0. The solutions to a quadratic equation can be found using methods such as factoring, completing the square, or applying the quadratic formula, and these solutions can be real or complex numbers.
Discretion in law refers to the authority granted to legal decision-makers to make choices within certain legal bounds, allowing them to apply their judgment in situations that don't fit neatly within predefined rules. This flexibility is crucial for achieving equitable outcomes, though it must be balanced with accountability to prevent arbitrary or unfair decisions.
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