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the discriminant of basic quadratic equation

Question

the discriminant of basic quadratic equation

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Solution

The discriminant of a quadratic equation is found using the formula:

D = b² - 4ac

where:

  • D is the discriminant,
  • a, b, and c are coefficients of the quadratic equation in the form ax² + bx + c = 0.

The discriminant helps determine the nature of the roots of the quadratic equation. If D > 0, the equation has two distinct real roots. If D = 0, the equation has exactly one real root (or a repeated real root). If D < 0, the equation has two complex roots.

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