How to solve the whole equations

How to solve the whole equations

The whole equations are the equations having the whole expressions in the left and right part. These are practically the simplest equations from all. They are solved in one way.

Instruction

1. An example of the whole equation - the 2nd +16=8kh-4. This the simplest of the whole equations. It is solved transfer from one part in another. In one part you have to ""collect"" all variables, in another - all numbers. But there are rules of transfer. It is impossible to transfer numbers with actions division and multiplication. If you transfer numbers with actions addition and subtraction, then at transfer you change the sign for opposite. If there was minus - put plus and vice versa. Let's solve the equation of the 2nd +16=8kh-4. At first we will transfer all variables and numbers. Let's receive: - the 6th =-20. x = ~ 3.3333.

2. The following type of the equation - the equation with multiplication and division. Example: 2kh*6+20=9kh/3-10. At first it is necessary to solve all actions of division and multiplication. Let's receive: the 12th +20=3kh-25. The same equation, as well as in an example 1 turned out. Now we transfer also to the left part, and in right - numbers. We receive the 9th =-45, x =-5.

3. Also some more types of the equations - the quadratic, biquadratic, linear equations enter the whole equations. To solve them, you can use two more methods - replacement of a variable and decomposition by multipliers. Replacement of a variable is when the whole expression from a variable is replaced with other variable. Example: (the 2nd +5) = at. Decomposition on multipliers - representation of one polynomial in the form of the work of polynomials of lower degrees. Also there are formulas of abridged multiplication without which the way of decomposition on multipliers will not turn out.

Author: «MirrorInfo» Dream Team


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