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