|A polynomial equation in a single variable containing the square of the variable, but no higher powers.|
|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.
|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)|
|Aryabhata | Brahmagupta | François Viète | Mahavira | Mu:1e25ammad ibn Mūsā al-Khwārizmī | Omar Khayyam|