In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...

For tips on how to do this, look at Factorising quadratics and Factorisation of further quadratics in this guide. For (\({x}\) + 2)(\({x}\) + 7) to equal 0 either the first or second bracket must be ...

Given any cubic or quartic equation with real coefficients, it can be transformed by a change of variable into a standard form, and thus solved by means of a double-sided scale (Fig. 1) in the case of ...

Scientific American is part of Springer Nature, which owns or has commercial relations with thousands of scientific publications (many of them can be found at www ...

Google's latest doodle in India celebrates the quadratic equation, ax² + bx + c = 0, showcasing its real-world applications ...

Google's Doodle illustrates how the equation can be applied to real-life scenarios across various fields, including physics, ...

The ancient Babylonians were a remarkable bunch. Among many extraordinary achievements, they found a now-famous mathematical solution to an unpleasant challenge: paying tax. The particular problem for ...

In a boon to algebra students everywhere, a professor at Carnegie Mellon University has devised a simpler and more efficient way to solve problems involving the quadratic equation. The new method was ...

Exercise 4.2 Class 10 Maths NCERT Solutions: This article presents NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4.2 along with a PDF link for students to save the ...