Subject: Mathematics
Book: Maths Mastery
Quadratic equations typically appear in the form ax² + bx + c = 0, where a, b, and c are constants. The quadratic formula, x = (–b ± √(b² – 4ac)) / (2a), is a universal method to find the roots (solutions). For example, to solve x² + 5x + 6 = 0, identify a=1, b=5, c=6. Plug these into the formula: x = (–5 ± √(25 – 24)) / (2) = (–5 ± 1) / 2, so the solutions are x = –3 and x = –2. Quadratic equations describe projectile motion, optimization problems, and many natural phenomena. Mastering the formula ensures you can handle everything from physics tasks to architecture and beyond.
If a square has a perimeter of 64 cm, what is its area?
View QuestionIf the sum of three consecutive integers is 72, what are the integers?
View QuestionIf the sum of the angles of a polygon is 1080°, how many sides does the polygon have?
View QuestionThe perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?
View QuestionWhat is the probability of drawing an ace from a standard deck of 52 cards?
View QuestionIf the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?
View QuestionWhat is the slope of a line passing through the points (2, 3) and (4, 7)?
View QuestionWhat is the value of x if 3x + 7 = 16?
View QuestionWhat is the cube root of 729?
View QuestionWhat is the greatest common divisor (GCD) of 36 and 48?
View Question