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## How to Solve Quadratic Equations

Mathematical problems are represented by a different class of equations and many equations are in polynomial form of various orders. A polynomial equation is formed by deriving variables and integer constants that are related to each other by arithmetic operators. In algebra equations play a big role. Equations are mathematical statements that describe the equivalence of expressions. In algebra polynomial equations are polynomials as defined in terms of degrees. Equations with first degree are defined as linear equations, and second degree as quadratic and so on.

Friends today, we will discuss how to solve Quadratic equations easily? A standard form of Quadratic equation contains only one equation higher than 2nd degree which is why Quadratic equations are known as 2nd order equations.

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

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

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

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

2×2 + 2x + 1 = 0 (already in standard form of the equation so no need to convert just note 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

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

So the roots are (-1, 0)

To solve Algebra problems such as the complex quadratic, students can use the quadratic equation solver, which is an online tool for the quick solution of these types of equations.

Students can rely on online math help provided by various online tutoring services with the help of highly qualified and specialized math tutors in each math department. In the scheduled time, most of the competitive exams involve maths questions that need to be solved quickly that’s why while giving maths help to the students, the tutor also tells them the shortest way to solve the maths questions in a short time. This service really helps students to get good marks in maths like other subjects. Children, are free to visit different websites to take math help and solve many math problems using different solvers. When, you study different topics of mathematics using the internet it helps you understand that all the topics are very simple and easy.

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