How to solve graphic equations?
One of the basic problems of mathematics is the solutionequations. For hundreds of years of development of the "queen of all sciences" people have come up with a large number of methods for solving equations - the replacement method, the transfer method, the methods of multiplication, addition, exponentiation. Particular cases of methods of multiplication, addition and exponentiation are the methods of division, subtraction and extraction of the root. All these methods teach us that if we carry out identical transformations on both sides of the equation, then the desired roots will remain unchanged.
Graphical method for solving equations
And how to solve graphic equations without conductingcomplex calculations? There is a method radically different from all of the above, much more graphical. And in some problems it is the best choice. The method is that if we plot the left and right sides of the equation in one coordinate system, the point or points of their intersection will show the roots of the equation. You can also answer the question how to solve the system of equations graphically. But in this case graphs of different equations are constructed in one plane (in the case of three-dimensional equations in one space). Again, the points of their intersection will point to the roots.
Advantages and disadvantages
The drawback of the method is obvious - if the roots are not integers,but real or rational, the accuracy of the method leaves much to be desired. Yes, and with whole roots, graphics must be built very carefully, otherwise the point of intersection can be away from the desired root. But the graphical method is good in checking the equation already solved by another method. If the point of intersection is very far from the point found by the third-party method, then the calculation has somehow crept in, we need to look more closely at the original data and do everything first.