Calculates the value of the discriminant of a cubic equation.
Author: shiroeExecutions: 90
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Enter a, b, c, and d.
Enter a non-zero number for a.
Enter a non-zero number for a.
| Value of the discriminant |
Digit setting: 50 digits. Fixed digits. Complex number calculation mode.
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Let the cubic equation be of the form ax³ + bx² + cx + d = 0.
Consider the case where all coefficients are real numbers.
Calculate the value of the discriminant in this case.
When the value of the discriminant is 0, the equation has repeated roots;
when it is positive, the equation has distinct real roots;
and when it is negative, the equation has one real root and two complex roots that are conjugate to it.