UPSC » UPSC CSE Study Materials » Mathematics » A Simple Introductory Guide to Quadratic Equation

A Simple Introductory Guide to Quadratic Equation

The actual form of quadratic equations is ax2+bx+c=0, where a, b and c are the real numbers and forms of this solution.

The quadratic equations also refer to the polynomial of the form ax2+bx+c=0 in which a, b and c are the actual numbers of this solution and it is also called the quadratic polynomials. Sometimes, the values of the x for which the quadratic equation is completed are also referred to as the roots of these solutions. The quadratic equation can have two important roots. The roots of this particular equation are also regarded as a point where the key graph of the quadratic polynomial cuts the x-axis. The quadratic formulas are directly used for gaining the key roots of the quadratic equation of this mathematical figure.

Explanation of Quadratic Equations

The quadratic equations also put more emphasis on the values of the real numbers within the solutions. However, there are different ways through which the quadratic equations can be easily formed. The key ways to solve this particular solution include factor, keeping all the key terms on the one side of the same sign, and setting each factor equal to zero. The four key ways to solve this particular solution include factorization methods, using the square roots and completing the square root and quadratic formula. There are always problems in solving quadratic equations. However, using the factors and the square roots are the best ways to solve the problems of these solutions. The keywords related to this particular solution include real numbers related to the solutions and the factorization methods and the polynomials and so on.  The shape of the graph related to this particular equation is a parabola.

Discussion on a quadratic equation formula

The quadratic equation formula in mathematics also helps to resolve the critical formulas of these solutions. A quadratic equation in the particular variable x is an equation of the forma x2+bx+c=0. The other way to solve this equation is to factorize the quadratic equation by breaking the middle term in the mathematical solution. The learners, as well as the mathematicians, always prefer to apply the factorization methods for solving critical problems related to mathematical solutions. The solution also depends on the values of the real numbers and the places of the variables associated with this mathematical figure. The key formulas of this equation to find out the root variable includes; x=-bb2-4ac2a. This particular formula has helped the learners as well as the mathematicians to resolve the critical factors related to the mathematical issues of this solution. This particular solution is also commonly known as the Sridhar Accharya formulas. This formulas and the solution also immensely enables the learners as well as the mathematicians to develop the different concepts related to this particular equation.

Explanation of Quadratic Equation

The quadratic equation is a key part of mathematics. It is also known as the main math formula that is used to resolve the critical factors of mathematical solutions. However, a x2+bx+c=0 is also regarded as the key formula related to this quadratic equation, as the highest power of variable x is 2. On the other hand, a quadratic equation is a mathematical solution that is used to solve difficult mathematical figures within a short period. The quadratic equation is a key concept of mathematics and is also used as an alternative to figure out the values of the real numbers of these equations. The quadratic equation is a formula that was also discovered by the Indian mathematician Sridhar Acharya.

Conclusion

From the above discussions, it can also be concluded that quadratic equations play a vital role in resolving the critical problems of the mathematical figure. Moreover, there are also different ways through which this particular mathematical solution can also be easily solved. Therefore, the key approaches of this solution also include the factorization process as well as applying the square roots within the solutions. This particular solution also includes the real numbers within its domains. Moreover, the Sridhar Acchraya formula is also quite easy to use to solve the equation of this solution very easily. The variables related to this formula also play a vital role in solving the equation.

faq

Frequently asked questions

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

What is the key factors in quadratic equations?

Ans. There are different factors related to this particular equation. The key factors that are associated with this ...Read full

What is the different ways to solve the quadratic equations?

Ans. There are also different keyways through which these equations can be easily solved. All these methods include ...Read full

What is the key formulas of the quadratic equation formula?

Ans. The key formulas of this quadratic equation include a...Read full

What is the key factors of the quadratic equation formula?

Ans. The key factors of the quadratic equation formula include the values of the real numbers such as a, b and c, an...Read full