Dear Aspirants,
Quadratic equations and other equations is another important topic which is often given in the entrances to test the aptitude of the aspirants. Students find this chapter tricky to handle and hence we have come up with another set of formulas to teach you the basic concepts of this topic.
Understand the basic concepts of this chapter carefully and gain good grades in your targeted entrance. We assure you that these concepts would untangle all the doubts hovering in your mind.
An equation looks like the following:
where x and y are variables.
Equations with a single unknown variable:
If the equation has only one unknown variable (x), as shown below,
Then, addition, subtraction, multiplication and division of any numbers on both sides of an equation don’t change the value of an equation unless done on both sides. Keep the unknown variable on one side of the equation and bring the remaining constant values to the other side of the equation.
The value of x in the above equation could be,
Equations with two unknown variables:
If there are two first degree equations with two unknown variables, then the equation can be solved for the two variables as given below:
If the equations are of the form,
then,
Linear Equation
A linear equation or simply an equation is a condition of equilibrium with an ‘equal to’ (=) sign in between two sides that contain variables. The equation may contain one or more unknown variables.
Quadratic Equation
Any polynomial equation with a degree two is a quadratic equation. The standard form of quadratic equation is:
Where A, B and C are real numbers.
A quadratic equation when plotted in a graph will give you a parabola as shown below as opposed to a linear equation that gives you a linear line.
The parabola can be opened up or down depending upon the equation.
Note:
- The value of A cannot be zero.
- Since the degree of the equation is two, it has two roots.
A linear equation differs from a quadratic equation in a way that the degree of linear equation has been always 1 whereas that of a quadratic equation is 2.
Read Also: Concept of Polynomials
DISCRIMINATE
Discriminate is used to understand the nature of the roots. Discriminate of a quadratic equation is given by:
Read Also: Practical application of Quadratic Equations
We hope that these concepts along with their related exercise will aid you in your preparation of Quadratic and other Equations topic.
You can also post your comments if some of your doubts from this topic still remain unsolved.
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