Quadratic Equations
Mathematics Solutions from Chapter -1 - Quadratic Equations
This chapter deals with the concept of quadratic equations. We will learn about zero product rule and steps for solving the equations. It also explains how to solve word problems based on quadratic equations.
Practice Other Topics from Quadratic Equations
This topic gives us an introduction to quadratic equations. It further explains various methods to find the roots of a quadratic equation. We will also discuss some direct formulas to find their roots.
This topic discusses the equations that are reducible to quadratic equation. It includes multiple examples for better learning and understanding. It also includes exercise questions to smoothen the concepts.
The topic will explore our knowledge on the nature of roots of a quadratic equation. We will also discuss some properties of such roots. In addition, we will go through some statement based examples related to this concept.
This topic covers the values of symmetric expressions of the roots. We will also discuss some symmetric functions of roots. Furthermore, it gives the formulas to find the sum and product of roots of a quadratic equation.
The topic will explore how to make quadratic equations when roots are given to us. We will discuss the general representation of quadratic equations in the form of roots. Moreover, we will deal with some solved examples.
In this topic, we will understand how to find the special roots with the aid of a formula. It highlights the signs of roots via solved examples. We will also discuss the relation between the coefficients of quadratic equation.
In this topic, we will come across the condition required for the two equations to have a common root. We have to solve the two given equations by cross multiplication method. It also covers the condition when both the roots are common.
This topic is all about the graphs of quadratic equations. We will learn how to find the curve and vertex from the given equation and draw the graph. It also highlights three different cases depending on the value of discriminant.
In this topic, we will discuss the signs of quadratic equations. It explains how to find the sign of given equation from determinant. It includes the maximum or minimum value of the quadratic equation. It also covers 4 corollaries based on sign convention.
In this topic, we will understand how to find the solution of quadratic equations. It explains the method of intervals with the aid of solved examples. We will also learn how to determine the solution in the form of an interval.
