The solution of the equations - what it is impossible to do in physics, mathematics, chemistry without. At least. We study bases of their decision.
Instruction
1. In the most general and simple classification of the equation it is possible to divide by quantity of the variables which are contained in them and on degrees in which these variables stand. To solve means search equation all its roots or to prove that they are absent. Any of the equations has no more than P roots where P is the maximum degree of this equation. But a part of these roots can coincide. So, for example, the equation х^2+2*x+1=0 where ^ - the badge of exponentiation, is displaced in an expression square (x +1), that is in the work of two identical brackets, each of which gives x =-1 as the decision.
2. If in the equation only one unknown, it means that you will manage to find in an explicit form its roots (valid or complex). For this purpose most likely will be necessary, various transformations: formulas of the reduced multiplication, a formula of calculation of a discriminant and the roots of a quadratic equation, transfer composed from one part in another, reduction to a common denominator, multiplication of both members of equation by one and too expression, squaring and other. The transformations which are not influencing equation roots are called identical. They are used for simplification of process of the solution of the equation. Also you can instead of traditional analytical use a graphic method and write down this equation in the form of function, having conducted then its research.
3. If in the equation of unknown more than one, then you manage to express only one of them through another, having shown thereby a set of decisions. The equations with parameters at which there is an unknown x and parameter are that, for example, and. To solve the parametrical equation - means to all and to express also through and, that is to consider all possible cases. If in the equation there are derivatives or differentials of unknown (watch the picture), congratulate, this differential equation, and here not to do you without the higher mathematics).