# Example Of Solving A Quadratic Equation Using The Quadratic Formula How to Solve Quadratic Equations

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## How to Solve Quadratic Equations

Mathematical problems are represented in various types of equations, and many equations are in the form of polynomials of various orders. A polynomial equation is formed with variable derivatives and constant integers that are correlated with each other by arithmetic operators. Algebra plays a major role in equations. Equations are mathematical statements that define the equality of statements. Polynomial equations in algebra are of many types because they are defined in terms of degrees. An equation of degree one is defined as a linear equation, degree two as quadratic and so on.

Friends today we will discuss how to solve quadratic equations easily? The standard form of quadratic equation contains only one variable derivative whose highest degree is 2 so quadratic equation is known as 2nd order equation.

The standard form is given as ax2 + bx + c = 0, where ‘a’, ‘b’ and ‘c’ are the constants required to evaluate the solution of any quadratic equation. A standard quadratic formula is used to solve a quadratic which gives two roots of the equation as its solution. The roots are given as:

First root = (-b + ( √(b2 – 4 ac))) / 2 a.

Second root = (-b – √( ​​b2 – 4 ac) )) / 2a.

Let’s take an example of a quadratic equation and see its development using the quadratic formula:

2×2 + 2x + 1 = 0 (the equation is already in standard form so there is no need to convert just to identify the coefficients) by comparing this equation with the standard equation. By doing this we get,

a= 2, b = 2 and c = 1

Now, put these values ​​into the quadratic formula:

First root = (- 2 + √( 22 – 4(2) (1))) / 2 (2) = ( – 2 + √( 4 – 8)) / 4 = -2 – √4 )/4 = – 1

Second root = (- 2 – √( ​​22 – 4(2)(1))) / 2 (2) = (- 2 – √(4 – 8)) / 4 = -2 +√4 )/4 = 0

So the roots are (-1, 0)

Complex quadratic students can use Quadratic Equation Solver, an online tool for quickly solving these types of equations, to solve algebraic problems.

Students can rely on online math help which is provided by various online tutoring services with the help of highly qualified and specialized math teachers for each branch of mathematics. During preliminaries, most of the competitive exams include math sums which have to be solved very quickly so while giving math help to the students, the teacher also tells them an alternative and short way to solve various math questions in a short period of time. This service helps students score well in other subjects like Mathematics. Children were free to visit different websites to get math help and solve many math problems using different solutions. When, you learn different mathematical subjects using online you will know that all the subjects are very simple and easy.

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