RS AggarwalSolutions for Class 10 Maths Chapter 4 Quadratic Equations
Quadratic equations are equations of the form y = ax2 + bx + c or y = a(x - h)2 + k. Here, we factor equations of the form x2 + bx + c = 0, splitting the expression into two binomials and using the zero product property to solve the equation. Quadratic equations are used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0. Not all equations ax2 + bx + c = 0 can be easily factored. Babylonians were the first to solve the quadratic equations of the form X2 – px + q=0. Brahmagupta (AD 598-665), an Indian Mathematician gave an explicit formula to solve a quadratic equation of the form ax2– bx=c. An Arab Mathematician, al-Khwarizmi in AD 800 also studied quadratic equations of various types.