| Input interpretation |
|---|
| quadratic equation |
| Alternate name |
| Bhaskara’s formula |
| Basic definition |
| A polynomial equation in a single variable containing the square of the variable, but no higher powers. |
| Detailed definition |
| A quadratic equation is a second-order polynomial equation in a single variable x ax^2 + bx + c = 0, with a!=0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has two solutions. These solutions may be both real, or both complex. |
| Related topics |
| biquadratic equation | Carlyle circle | completing the square | conic section | cubic equation | Fermat’s factorization method | polynomial discriminant | quadratic | quadratic formula | quartic equation | quintic equation | sextic equation |
| Educational grade level |
| high school level (California Algebra I standard) |
| Subject classifications |
| algebraic equations |
| Associated people |
| Aryabhata | Brahmagupta | François Viète | Mahavira | Mu:1e25ammad ibn Mūsā al-Khwārizmī | Omar Khayyam |