The equation is the equality of two numerical expressions in which one unknown one is present. There are several types of equations: algebraic, parametric, functional, differential and transcendent. But for all their meaning "The root of the equation" is equally.
1
The root of the equation is the value unknown in the numerical expression of the value, which is obtained as a result of the solution of the equation. The equation may have more than one solution, in which case an unknown value takes several values, therefore it is also called a variable value.
2
Getting all possible values \u200b\u200bof variables value means that the root of the equation is found. The solution of the equation provides for the implementation of mathematical actions in order to maximize its simplification. As a result, the value of the variable is set, the relationship between two variables is determined or it is determined that the equation is insoluble.
3
The unresolved equation does not have roots, because With any value of the variable, the equality is not performed.
4
After receiving the results, it is necessary to check the calculations: Substitute in the original expression instead of a variable the value found and perform all mathematical actions with numbers. If equality is performed, and expressions on different sides of the sign «=", Identical, then the solution is true, otherwise the true root is not found or is a stranger.
5
An extraneous root appears when solving many equations. He is not true, because When substituting it in the equation, equality is not performed.
The root of the equation is a variable value satisfying the conditions of the equation and transforming it into equality during substitution.
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