EqWorld The World of Mathematical Equations

Exact Solutions > Algebraic Equations and Systems of Algebraic Equations > Algebraic Equations

Algebraic Equations

1. ax + b = 0.   Linear (algebraic) equation.
2. ax2 + bx + c = 0.   Quadratic equation.
3. ax3 + bx2 + cx + d = 0.   Cubic equation.
4. ax4 + bx2 + c = 0.   Biquadratic equation.
5. ax4 + bx3 + cx2 + bx + a = 0.   Reciprocal (algebraic) equation.
6. ax4 + bx3 + cx2bx + a = 0.   Modified reciprocal equation.
7. ab2x4 + bx3 + cx2 + dx + ad2 = 0.   Generalized reciprocal equation.
8. ax4 + bx3 + cx2 + dx + e = 0.   Quartic equation of general form.
9. xna = 0.   Binomial algebraic equation of degree n.
10. ax2n + bxn + c = 0.
11. a0x2n + a1x2n−1 + a2x2n−2 + ... + a2x2 + a1x + a0 = 0.   Reciprocal (algebraic) equation.
12. anxn + an−1xn−1 + ... + a1x + a0 = 0.   Algebraic equation of general form of degree n.

The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.