the discriminant of basic quadratic equation
Question
the discriminant of basic quadratic equation
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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