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.
A cone has a base radius of 7 cm and height of 24 cm. What is its volume?
View QuestionWhat is the sum of all even numbers between 1 and 100?
View QuestionThe sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?
View QuestionIf a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?
View QuestionIf the probability of an event is 1/4, what is the probability of its complement?
View QuestionWhat is the sum of the first 50 positive integers?
View QuestionA train 150 m long passes a pole in 15 seconds. What is its speed?
View QuestionWhat is the square root of 144?
View QuestionWhat is the remainder when 5^100 is divided by 3?
View QuestionIf a:b = 2:3 and b:c = 4:5, what is a:c?
View Question