CHAPTER 6
Quadratic Functions and Theory of Quadratic Equations
6.1 QUADRATIC FUNCTIONS
In the last unit, we have seen the definition of a function and different kind of functions possible. This quadratic function is of special kind in which the algebraic expressions are having the highest degree as two. Usually, this expression is expressed in terms of the variable x.
The general structure is as follows:
f[x] = ax2 + bx + c, where a, b and c are constants and a ≠ 0.
The equation of the following structure is referred to as a quadratic equation:
f[x] = ax2 + bx + c = 0, where a, b and c are constants and a ≠ 0 and x is a variable.
Let ‘r’ be a constant for which f[x = r] = 0 implies that x = r is one of the roots of the given equation and ...
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