Quadratic congruence calculator. The calculator accepts numbers of up to 10000 .

Quadratic congruence calculator. Uses the quadratic formula to solve a second-order polynomial equation or quadratic equation. The Gauss reciprocity law enables us to easily evaluate these symbols and thus provide us with tools to determine whether the equations Free Modulo Congruence with Variables Calculator - find whether two numbers are congruent to same module step by step A tool for solving linear congruences of the form ax ≡ b (mod m). This tool also comes with detailed learn sections, step-by-step solutions, & practice problems! Free Quadratic Formula Calculator helps you to find the roots of quadratic equations. The calculator accepts numbers of up to 10000 Using the Chinese remainder theorem, the problem is reduced to the case of a prime power p n: Tool/solver to resolve a modular equation. . That is the task of solving quadratic congruences, the modular equivalent to the well-known quadratic equations. Use this Congruence Modulo N Online Calculator for your discrete math mod problems! This modulo congruence calculator makes it easy to verify congruent modulo calculations. Jun 16, 2025 · This Web application can solve equations of the form a⁢x² + b⁢x + c ≡ 0 (mod n) where the integer unknown x is in the range 0 ≤ x < n. Abstract Quadratic congruences are of the form \ (x^2\equiv a\) (mod \ (n\)). Free quadratic equation calculator - Solve quadratic equations using factoring, completing the square, and quadratic formula step-by-step. Some of them have, and some of them don’t have solutions. Shows work by example of the entered equation to find the real or complex root solutions. Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels. Added May 29, 2011 by NegativeB+or- in Mathematics This widget will solve linear congruences for you. Real and complex roots, completing the square, factoring, graphing. Theorem 1: If p is an odd prime and p ∤ a, then the quadratic congruence x2 ≡ a (mod p) has exactly 2 solutions or 0 solutions. A modular equation is a mathematical expression presented in the form of a congruence with at least one unknown variable. The equation 3x==75 mod 100 (== means congruence), input 3x into Variable and Coeffecient, input 100 into modulus, and input 75 into the last box. This theorem (Quadratic Reciprocity, in the next chapter) will come from our trying to find the solution to a useful general problem, which I like to think of as the last piece of translating high school algebra to the modular world. Calculator solution will show work for real and complex roots. You can type numbers or numerical expressions on the input boxes at the left. The Legendre and Jacobi symbols are objects developed to simplify understanding of solvability of quadratic congruences. In particular, it can find modular square roots by setting a = -1, b = 0, c = number whose root we want to find and n = modulus. Aug 1, 2025 · Solve quadratic equations using a quadratic formula calculator. Notice that x = 1 and x = 4 are solutions to this quadratic congruence. elxp njq xfjhg yansdc pvumn iemvbl fjrzvh fhdv urps eknqq