Tool/solver to resolve a modular equation. A modular equation is a mathematical expression presented in the form of a congruence with at least one unknown variable.
Modular Equation Solver - dCode
Tag(s) : Arithmetics
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Modular Equation Solver
Modular Equation Calculator
Solve Equations with Several Modulos
In the particular case of a single unknown with several equations with several modulos, there is the Chinese remainder theorem:
Answers to Questions (FAQ)
What is a modular congruence? (Definition)
A modular congruence is a kind of equation (or a system of congruence, with at least one unknown variable) valid according to a linear congruence (modulo/modulus). With modulo, rather than talking about equality, it is customary to speak of congruence.
For several modulus equations system (non linear), this is a different calculation that can be solved with the calculator tool solving the Chinese remainders problem available on dCode.
How to solve a modular equation?
Enter the equation/congruence, the variables and the value of the modulo. The value of the modulo is global and applies to all equations.
Example: $$ x+12 \equiv 3 \mod 5 \Rightarrow x = 1 $$
The modular equation solver can not work with inequalities, only the equal sign is accepted to solve the equations.
How to solve multiple equations?
Enter one equation/congruence per line or separate them with operator &&.
How to write the congruence symbol ≡?
Copy this symbol: ≡ (Unicode U+2261)
In LaTeX, write: \equiv
On dCode, it is not necessary to write it ≡ (congruent) to solve the equations, the equal sign = is enough.
Source code
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Modular Equation Solver on dCode.fr [online website], retrieved on 2023-10-01,
