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.
What is the value of x if 3x + 7 = 16?
View QuestionThe probability of rolling a sum of 7 with two dice is:
View QuestionA cube has a side length of 4 cm. What is its volume?
View QuestionIf a:b = 5:7 and b:c = 6:11, what is a:c?
View QuestionWhat is the cube root of 729?
View QuestionThe area of an equilateral triangle with side length 6 cm is:
View QuestionIf a number is divisible by 9, it is also divisible by which of the following?
View QuestionIf x = 3 and y = 4, what is the value of x^2 + y^2?
View QuestionThe LCM of 12 and 15 is:
View QuestionThe perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?
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