Subject: Mathematics
Book: Maths Mastery
Completing the square rewrites a quadratic ax² + bx + c into a(x – h)² + k form. For instance, x² + 6x + 5 → (x² + 6x + 9) – 9 + 5 → (x + 3)² – 4. This reveals the vertex or allows direct factoring. It’s also vital in derivations (quadratic formula), geometry (circle equations), and calculus (integrals of certain forms). Mastering it fosters deeper insight into parabola properties and simplifies many otherwise cumbersome algebraic tasks.
If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?
View QuestionA man spends 75% of his income and saves Rs. 600. What is his total income?
View QuestionThe LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?
View QuestionIf x - y = 5 and x + y = 15, what is the value of x?
View QuestionIf 8x = 512, what is the value of x?
View QuestionIf a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?
View QuestionIf the perimeter of a square is 40 cm, what is the area of the square?
View QuestionIf x^2 + 4x + 4 = 0, what is the value of x?
View QuestionWhat is the LCM of 15 and 20?
View QuestionIf the sum of the squares of two consecutive positive integers is 365, what are the integers?
View Question