In elementary algebra, there are various ways of solving a quadratic equation such as completing the square, graphing or factoring. However and whenever you seek for a way to solve these equations the best way which comes to your mind is the Quadratic formula calculator. That is a one-step solution for all kind of quadratic equations. It is one of the simpler, easiest and convenient ways of solving equations. After reading this article, you will become able to identify a quadratic equation. You will learn how to place a quadratic equation into a standard form along with learning the alternative ways to derive a quadratic equation general formula.
A quadratic formula calculator in general terms could be called as a polynomial equation which contains the second degree and no higher degrees of a variable. The standard form of a quadratic equation is –
mx² + nx + k = 0
In this equation, the value of x is always unknown. m, n, and k are constant in which they should be equal to 0 or contains some negative and positive values. On the way to verify whether the quadratic formula is satisfying a quadratic equation or not, you have to insert the former one into the latter. This is known as parameterization. After this, the general quadratic formula is converted into
known as radical.
All the quadratic equations can be inserted in a standard form. And any equation which can be put into a standard form and can be solved by a quadratic formula solver represents a quadratic equation. The solution of any equation is sometimes known as the root of an equation.
There are various methods for deriving the quadratic formula. Some of these may either be simpler than completing the square method however the method represents interesting applications of the different algebraic techniques. It offers a different view of the field of mathematics.
How the general quadratic formula calculator is derived?
mx² + nx + k = 0
4m²x² + 4mnx + 4mk = 0
4m²x² + 4mnx = -4mk
4m²x² + 4mnx + n² = n² – 4mk
(2mx + n)² = n² – 4mk
This is an ancient way of determining the quadratic formula which was known to the people around years ago. When it is compared with other ways of deriving the standard formula, this way of solving and determining the formula is quite simpler. The benefits of this formula derivation are-
- Simple to solve and is less complicated
- Less computation of literal coefficients
- It does not involve fractions until the very last steps.
- Use of simple math with simple expressions
- The central theme of algebra is to solve the equations
However solving these equations is not easy for everyone. A lot of times people find a problem get stuck into a particular quadratic equation and do not find the way to solve it. The basic command over mathematics is a must to solve such equations. However, there are various sites which are now offering the services of instantly solving the equations. One such site is the Quick Math which allows you to put down your equation in the available dialogue box to provide the quadratic formula calculator. The whole solution can be displayed along with the answer. It makes your math problems easier and explains the alternative ways to solve an equation.