WHAT ARE THE PROPERTIES OF EQUATIONS?

As we had mentioned in other previously published articles, we were entering one of the branches of the wonderful world of mathematics that is algebra, in this branch we found something called equations, which are defined as arithmetic operations with polynomials, these equations have with some properties and we will see them next:

One of the properties of equations is that whatever is on either side of the equal must be equal to whatever is on the other side. For example if (a = b and b = c then a = c)
When we have an equality (a=b) we can add or subtract any number or variable but it always has to be balanced on the other side of the equation as well, so if we have (a = b ) we can also have ( ax = bx)
If we multiply a number or a variable to one side of the equality, it must also be applied to the other side, in the same way with the division (a = boa*x = b*x)
The order of clearing the equations is inverse to the order of work of arithmetic operations, so additions and subtractions must be dealt with first, then multiplications and divisions, followed by exponents and roots, and finally they must be operated parentheses and brackets.
When we have exponents in the equations and we need to clear them, the inverse operation to potentiation is the root and depending on the exponent that we have, the root will be possible (for example, exponent to 3 then it is cube root, etc)

Something interesting that we want to share with you about when we work with the filing is that the result obtained from a root is not the only result, for example the root of 81 is 9 (check it on your calculator) and this is because 9 * 9 = 81, but there is another number that multiplied by itself will give us 81 as a result and it is the following: (-9) * (-9) = 81! So when you present a result for a root, display both results as they are correct.

In future articles we will see what polynomials are in a little more detail, remember to always stay curious to acquire new knowledge and check everything we publish here so that together we continue to grow. See ya!

Juan Yarce - 2022