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Quadratic Equation

Algebra is an integral part of Mathematics. The term ‘quadratic equation’ has come also from the Latin word quadrates which also represents the word square.

The term ‘quadratic equation’ is a type of equation that can also be represented in the form of ax2+bx+c=0 in which a and b are considered as the coefficients of x2. On the other hand, it is also represented as the quadratic expression. These two factors always remain unchanged during the formation of the quadratic equation. The mathematicians always put more importance on the applications of this process in algebra. This equation also depends on the two variables such as x and y. The entire process of this equation also uses all these variations in the general form. Modern mathematicians always consider 2 as the highest power of the unknown quantity.

Explanation on the Quadratic Equation

The term ‘quadratic equation’ has its existence in 1800 BC. Ancient mathematicians of India, as well as Babylonians, have also started all the key concepts and formulas related to the quadratic equation. Ancient mathematicians of India also discovered some important keywords and formulas related to this particular topic. Sridhar Acharya and Aryabhatta are among them. Their concepts and formulas for this particular tropic have also immensely helped the modern mathematician to discover some key concepts of this field. There are also some important examples of this equation in the real life.

Some different factors also influence the variables and the equations related to this field. However, in other words, all these values and equations are always related to the variables of x as well as y. The values of these equations are not different from each other. The original problems of the quadratics have begun in ancient times. Moreover, there is a huge difference between the applications of the concepts as well as formulas in ancient times and the equations of modern times. The primary formulas of this particular equation include ax2+bx+c=0 The equations can also be written as two sets of binomials when the value of x becomes 1.

Discussion on the Quadratic Equations

The quadratic equation is a formula that is always used to solve equations in the form of quadratics. A quadric is considered as an equation that is formed in degree as well as in the highest exponents. The different methods of these equations are used to solve the different problems related to finding the values of the variables x as well as y. The major advantages of applying this equation in algebra include solving mathematical problems very easily. On the other hand, it also helps to find out the values of x and y quickly. The word derivation is also an important part of these quadratic equations. The quadratic formula is also derived from the square methods of this equation. Moreover, in other words, it also represents the different keywords and formulas of the square methods that are applied in these quadratic equations. Sometimes, the variables also depend on the square methods. The next major achievement in this equation also includes the different concepts and theories of Sridhar Acharya, an ancient Indian mathematician.  The other equations that are also included in this equation also include (ax2+ bx+c) =0. The quadratic formula is a useful alternative to obtain information about the different variables in this equation.

Explanation on the Ellipse

The standard equation of ellipse refers to the x2/a2+y2/b2=1. It also represents the ellipse centered at the origin as well as with the axes that lie in the origin. Moreover, in other words, the different keywords that are also applied in this process also represent standard position and rotation. This method is utilized in algebra to understand the key concepts of the equation. It also deals with the different values of the variables in this equation. The chosen word is also an integral part of this particular equation. Different methods have also been applied in this process. Among them, the most important one include (x-h)2/a2+(y-k)2/b2=1. It also represents a and b as the positive factors related to this process. Furthermore, a and b are usually considered as the necessary factors of this equation. The mathematicians have also developed different concepts and key factors that are completely associated with this process. The keywords such as the rotation of the quadratic and quadratic circles have also been included in this equation. Moreover, it also exhibits the similarity of circles.

Conclusion

From the above discussions, it can also be concluded that algebra plays a vital role in the development of the different concepts and formulas of algebra. The ancient mathematicians of India as well as Babylonians have immensely contributed to discovering the different formulas and features of these mathematical functions. Therefore, all these key factors of these equations also play an important role in solving the critical issues and different factors of algebra. Moreover, in other words, Indian mathematicians such as Aryabhattta and Sridhar Acharya have also greatly contributed to developing the key factors of these equations and resolving the mathematical issues. It also impacts on solving the different issues as well as the key concepts of mathematics. Therefore, it plays a vital role for finding the key variables related to these equations. The different scholars and mathematicians apply these concepts to resolve the critical issues of algebra and in solving the issues.

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Frequently asked questions

Get answers to the most common queries related to the NDA Examination Preparation.

What are the different forms of a quadratic equation?

Answer. There are three forms of this equation in mathematics. However, all these forms include the Standard form, F...Read full

What are the main variables in the quadratic equation?

Answer.  There are usually three types of variables in this equation. All these key variables include X, Y and Z in...Read full

Who contributed to the different concepts of quadratic equations?

Answer. Indian mathematicians such as Sridhar Acharya and Aryabhatta discovered different concepts of this formula....Read full

Mention the key formula of the ellipse?

Answer. The key formula of this concept includes x2/a2+y...Read full