Quadratic Equation

Quadratic Equation Formula with Question Examples

March 4, 2021 Leave a Comment

Quadratic Equation Formula: In the Algebraic mathematical domain the quadratic equation is a very well-known equation, which forms the important part of the post metric syllabus. There are the different kinds of problems/questions, which are put in the exam from the chapter and constitute the significant marks of the subject.

If we discuss the quadratic equation in the simple language then it is the equation, which has the form of ax2 + bx +c=0 and in this whole equation each coefficient holds its own value in accordance to which this whole equation is solved.

The best identification of the quadratic equation is that in this equation the exponent variable always holds the square power such as x² and the value of x is always unknown. On the other hand, the value of a,b,c is always given or known which is put into the equation to solve the whole equation.

Quadratic Equation Formula

Well, in you want to solve the given equation ax2+bx+c=0 in order to get the value of x then you need to solve the whole equation by the factorization pattern.You have to do the factors of the equation and then put the factors equal to zero and there you may make from 1 to 3 factors of a normal quadratic equation.

In the usual manner the given quadratic equation can be easily solved just by doing the factors but sometimes when the equation becomes tricky, then we need to try out the specific formula which can simplify the whole equation in a systematic manner.

The formula is called as the quadratic formula and here is how it can be written as

In this equation the coefficients a,b,c are just the numbers as per their given values and we solve the equation by keeping the value of these numbers within the equation.

In order to make this quadratic equation work, you must arrange the equation in a similar form as of the quadratic formula, in order to get the values of the formula, and then by simply putting the values you can get the solution.

Examples:

Difference Between Linear and Quadratic Equations

March 4, 2021 Leave a Comment

Difference Between Linear and Quadratic Equations: Well, if you are someone who has studied post-matric algebra then you must have gone through the chapter of a quadratic equation. It’s an important chapter of algebra and constitutes the significant marks in the exam as well.

Quadratic equation is basically one such equation which has its highest exponent of variable as x² and then the equation goes on with the other coefficients in the form of a,b,c. The squared form of the exponent variable is mandatory in the equation without which it can’t be a quadratic equation in itself.

Difference Between Linear and Quadratic Equations

In the quadratic equation the variable x has no given value, while the values of the coefficients are always given which need to be put within the equation, in order to calculate the value of variable x and the value of x, which satisfies the whole equation is known to be the roots of the equation.

Linear Vs Quadratic Equation

Well, in the quadratic equation we can basically have 2 types of the equation which are the quadratic equation and then the linear equation. In order to have the quadratic equation we must have any positive or the negative value of the coefficient a right before the variable x, so that it can make the sequence of the equation as ax² which is opposite in case of linear equation.

In the linear equation the value of coefficient is always equals to 0, which disturbs the pattern of the quadratic equation ax² and makes it the linear equation. Further a linear equation doesn’t have any power higher than one of its own and it has the straight line form of ax+by+c=0 where the a,b,c are the respective constants.

Moreover the other line of differentiation between the linear and the quadratic equation is that the linear equation may have one or more variables, while the quadratic equation necessary holds just one variable and we have the different approaches to solve both of these equations.

Standard Form of Quadratic Equation with Examples

March 1, 2021 1 Comment

Standard Form of Quadratic Equation: If you are someone who is going to study post metric algebra then you are surely going to come across the quadratic equations, as it constitutes the significant part of the algebra and you will face the significant numbers of the questions from the chapter in the exam.

Quadratic is a simple equation in which the variable x is the highest exponent of the equation and it has the square power root, which is the significant part for the identification of the equation. Further it may have the other coefficients in the sequence of the a,b,c to complete the whole equation.

Standard Form of Quadratic Equation

The general form of the quadratic equation is ax²+bx+c=0 which is always put equals to zero and here the value of x is always unknown, which has to be determined by applying the quadratic formula while the value of a,b,c coefficients is always given in the question.

Here in this article we are going to provide our readers with some significant exposure of the basic quadratic equations, so that they can get to know these equations as by having the overview before solving the actual equations.

Quadratic Equation Overview/Example

Well, if you are someone who is newly getting into the study of the quadratic equation, then here you can check out some examples of these equations so that you can figure out solving these equations.

X²-5×=0

It’s the standard form of the quadratic equation in accordance to the ax²+bx+c=0 and can be understood as the classical example of the standard quadratic equation.

In the above given example here square power of x² is what makes it the quadratic equation and it is the highest component of the equation, whose value has to be determined in the question.

Furthermore the number 5 in the equation is the coefficient of this equation and there may be many such coefficients in the equation, which simply need to be multiplied with the value of x.

Here below can be many other examples of the standard quadratic equation for the consideration of our scholar readers.

6x²+3x−5=0
X²+2x=0
−2X²−5X=0
X²+8X=0