Equation Solving

Equations

Solve a linear equation:
4x+3=19
Solve a polynomial equation:
solve x^2 + 4x + 6 = 0
Solve over a specified domain:
solve x^3 - 4x^2 + 6x - 24 = 0 over the reals
Solve an equation with parameters:
solve a x^2 + b x + c = 0 for x
Solve a trigonometric equation:
sin x + cos x = 1

Systems of Equations

Solve a system of linear equations:
x+y=10, x-y=4
Solve a system of polynomial equations:
x^2+y^2=1, (x-2)^2+(y-1)^2=4

Systems of Congruences

Solve a single congruence equation:
solve 5x =2 (mod 3)
Solve systems of congruences:
solve 2x = 10 (mod 12), 3x = 9 (mod 12)
Check if values are equivalent under a given modulus:
17 = 7 mod 10
Solve a congruence involving variables in the modulus:
solve 22 = 10 mod n
Solve systems with each equation under a different modulus:
x = 1 mod 2, x=3 mod 6, x=3 mod 7
Solve multivariate systems of congruences:
x^2 = y^3 mod 2, x=3 mod 7, y=4 mod 7

Numerical Root Finding ››

Find a root of an equation using Newton's method:
using Newton's method solve x cos x = 0
Find a root of an equation using the secant method:
using secant method solve x^3-2 at x1=-3 and x2=3
Compute the ,n,th root of a number using the bisection method:
find root of 2 with bisection method