NCERT Solutions for Class 10 Maths Unit 4
Quadratic Equations Class 10
Unit 4 Quadratic Equations Exercise 4.1, 4.2, 4.3, 4.3 4.4, 4.4 Solutions
In elementary algebra, a quadratic equation is any equation having the form
a2 + bx + c = 0
where x represents an unknown, and a, b, and c represent numbers such that a is not equal to 0. If a = 0, then the equation is linear, not quadratic. The numbers a, b, and c are the coefficients of the equation, and may be distinguished by calling them, respectively, the quadratic coefficient, the linear coefficient and the constant or free term. Because the quadratic equation involves only one unknown, it is called "univariate". The quadratic equation only contains powers of x that are non-negative integers, and therefore it is a polynomial equation, and in particular it is a second degree polynomial equation since the greatest power is two.
Quadratic equations can be solved by factoring, by completing the square, by using the quadratic formula, or by graphing. Solutions to problems equivalent to the quadratic equation were known as early as 2000 BC.