Subject: Mathematics
Book: Maths Mastery
A Diophantine equation restricts solutions to integers. A typical linear form is Ax + By = C. For instance, 4x + 6y= 14 can be tackled by factoring out gcd(4,6)=2, rewriting as 2(2x+3y)=14, so 2x+3y=7. Then find integer solutions systematically. Another approach is the Extended Euclidean Algorithm. These equations are fundamental in partitioning tasks, cryptographic key generation, or advanced number theory. Mastering them ensures a strong integer-based solution approach for logic puzzles or real-world quantity allocations that must remain whole.
If a+b = 10 and ab = 21, what is the value of (a-b)^2?
View QuestionIf sin(θ) = 0.6 and θ is acute, what is cos(θ)?
View QuestionA number is increased by 20% and then decreased by 20%. What is the net change?
View QuestionThe sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?
View QuestionWhat is the sum of all even numbers between 1 and 50?
View QuestionIf 2a + b = 10 and a - b = 4, what is the value of a?
View QuestionHow many diagonals does a pentagon have?
View QuestionIf x^2 - 6x + 9 = 0, what is the value of x?
View QuestionA man spends 75% of his income and saves Rs. 600. What is his total income?
View QuestionWhat is the square root of 144?
View Question