Subject: Mathematics
Book: Maths Mastery
A linear Diophantine equation in two variables, Ax + By = C, seeks integer solutions. Using the Extended Euclidean Algorithm helps find one solution (x₀, y₀), and the full solution set stems from x=x₀+(B/d)n, y=y₀–(A/d)n, where d=gcd(A,B). For example, 6x + 9y = 3 has infinite integer solutions once you find one. Diophantine equations appear in integer partitioning tasks, cryptography (modular arithmetic), and number theory. Mastering them fosters advanced problem-solving skills across discrete math and computational contexts.
What is the square root of 121?
View QuestionA man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?
View QuestionIf sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?
View QuestionA man spends 75% of his income and saves Rs. 600. What is his total income?
View QuestionA sphere has a radius of 7 cm. What is its volume?
View QuestionIf x + y = 10 and xy = 21, what is the value of x³ + y³?
View QuestionThe sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?
View QuestionIf a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?
View QuestionHow many ways can 4 people sit in a row?
View QuestionIf a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?
View Question