Diophantine equation

Related BrainMass Solutions

• Solutions of Linear Diophantine Equation ax + by = c

  23557 Two different forms of solutions of Linear Diophantine Equation ax + by = c If (xo,yo) is a solution of the Linear Diophantine equation ax + by = c , then the set of solutions of the equation consists of all integer pairs

• Diophantine

  115513 Investigating a Diophantine Equation Prove that y^2= x^3+23 has NO integer solutions. Please see the attached file for the complete solution. Thanks for using BrainMass. A diophantine equation is investigated.

• The general solution of the linear Diophantine equations

  23591 The Linear Diophantine Equation Find the general solution ( if solution exist) of each of the following linear Diophantine equations: (a) 2x + 3y = 4 (d) 23x + 29y = 25

• Proofs, Diophantine equations, and sequences

  equation: 169x-65y = 91 8- Find all the nonnegative interger solutions to the following Diophantine equation: 12x + 57y = 423 9- Show that the Diophantine equation ax2 + by2 = c does not have any integer solutions

• Diophantine equation

  26408 A proof and a solution involving a Diophantine equation Show that the Diophantine equation x^2-y^2=n is solvable in integers if and only if n is odd or n is divisible by 4. When this equation is solvable, find all integer solutions.

• Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Hensel's Lemma, Diophantine equations, arithmetic in polynomial rings, primitive roots, quadratic reciprocity and quadratic fields.

  Topics usually include the Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Hensel's Lemma, Diophantine equations, arithmetic in polynomial rings, primitive roots, quadratic reciprocity and quadratic fields

• the Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Hensel's Lemma, Diophantine equations, arithmetic in polynomial rings, primitive roots, quadratic reciprocity and quadratic fields.

  Topics usually include the Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Hensel's Lemma, Diophantine equations, arithmetic in polynomial rings, primitive roots, quadratic reciprocity and quadratic fields

• Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Hensel's Lemma, Diophantine equations, arithmetic in polynomial rings, primitive roots, quadratic reciprocity and quadratic fields.

  Topics usually include the Euclidean algorithm, primes and unique factorization, congruences, Chinese Remainder Theorem, Hensel's Lemma, Diophantine equations, arithmetic in polynomial rings, primitive roots, quadratic reciprocity and quadratic fields

• Fundamental Theorem of Arithemtic : Lowest Common Multiples and Diophantine Equations

  Lowest common multiples and diophantine equations are investigated and the details are discussed in the solution.