Wat als de discriminant negatief is?
Als je die negatieve discriminant vervolgens invult in de abc-formule, dan zou je de wortel van een negatief getal krijgen. Zoals je weet bestaat de wortel van een negatief getal niet. Daarom heeft de vergelijking geen oplossingen als de discriminant een negatief getal is.
Waarom de abc-formule?
De ABC-formule, ook wel de wortelformule genoemd, kan altijd worden gebruikt om kwadratische vergelijkingen op te lossen, maar soms kun je een kwadratische vergelijking makkelijker ontbinden in factoren.
What is discriminant in math?
Discriminant Definition in Math. The discriminant of a polynomial is a function of its coefficients which gives an idea about the nature of its roots. For a quadratic polynomial ax 2 + bx + c, the formula of discriminant is given by the following equation : For a cubic polynomial ax 3 + bx 2 + cx + d, its discriminant is expressed by
How do you find the discriminant of a polynomial?
The discriminant of a polynomial is a function of its coefficients which gives an idea about the nature of its roots. For a quadratic polynomial ax 2 + bx + c, the formula of discriminant is given by the following equation : D = b 2 – 4ac For a cubic polynomial ax 3 + bx 2 + cx + d, its discriminant is expressed by the following formula
Is the discriminant of a polynomial homogeneous in the coefficients?
The discriminant is a homogeneous polynomial in the coefficients. It is quasi-homogeneous in the coefficients since also a homogeneous polynomial in the roots. The discriminant of a polynomial of degree n is homogeneous of degree 2n − 2 in the coefficients.
What does it mean when the discriminant is zero?
When discriminant is zero, it shows that there are repeated real number solution to the quadratic; For a negative discriminant, neither of the solutions amount to real numbers; For a positive discriminant, there are two distinct real number solutions to the quadratic equation.