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.
What is the area of a circle with a diameter of 14 cm?
View QuestionIf x^3 - 3x^2 + 4 = 0, what is one root of the equation?
View QuestionA rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?
View QuestionA car covers a distance of 150 km in 2.5 hours. What is its average speed?
View QuestionWhat is the sum of the first 10 positive even numbers?
View QuestionIf the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?
View QuestionIf 2x - 3 = 7, what is the value of x?
View QuestionThe perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?
View QuestionIf a:b = 7:9 and b:c = 5:6, what is a:c?
View QuestionIf the average of five consecutive odd numbers is 25, what is the largest number?
View Question