An algebraic equation is an equation which display style is A=B. Where A and B are equal. It is a uni-variate equation, and it contains only one variable. There are some equations which involve many variables known as a multivariate equation. It is usually approved to an algebraic equation. Such as a{5}-3a+1=0 Definition: When the two expressions plan equal statement called algebraic equation. This statement created a set of variables in the algebraic operations.
This algebraic operation contains adding, reduction, multiplication, and diversion, etc. This type of equation is using for finding one or more roots. As like as a3 + 1 and (y4a2 + 2by – y)/(x – 1) = 12. There is a special case for this type of equations, and that is polynomial equations. The quantity of the solution depends on the number of a degree in this equation. The algebraic equation divided into some variety of equations. They are a Diophantine equation, Linear equation, and quadratic equation. Diophantine equation: All the roots of this type of equations are integers, and its results of interest are also integers. As like as 3a + 7b = 1 or a2 − b2= c3 where a, b, and c are integers. There are three classes Diophantine equations. One has no result, second has many results, and the third one has many results. Such as the equation 6a − 9b = 29 has no result, but the equation 6a − 9b = 30 has a result. There is a method named Congruence methods. This method is helpful for measuring the quantity of solution. With this method, you can find that is this equation can solve or not. Linear equation: A linear equation is a first-degree polynomial. The sum of a set of terms makes this equation. For example- the equation “a + b=5” is a linear equation. With two variables any equation represents a straight line. With a general result, a bundle of equations called simultaneous equations. This result is perfect for both equations. If the result will a=3, b=4, it would show the point (3,4). It is the intersection of two straight lines which presented by the two equations. A linear differential equation is a first-degree algebraic equation. It has a dependent rut and its derivatives. For an example da /db + Ma=L, here M and L can be constants or factors of a, a and b is the independent variable. When M is a constant and L=0, it makes a valuable equation. Quadratic equation: A quadratic equation is a second-degree equation. It has one or more variables. This equation is important for the physics acceleration motion theory. The equation mx2 + nx + p = 0, here m, n, and p are constants and m is not equal to 0. History of the algebraic equation: When mathematics invented then the algebraic equation was also introduced. The Babylonian mathematicians solved some type of quadratic equations at the 2000 BC. It has a very long story. The ancient mathematicians were trying to solve in the method of radical expressions. The Egyptians were able to solve 2-degree equations.
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