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# Algebra

## Rewriting radicals into exponential form

We can rewrite every radical as an exponent. Frequently this step helps easily to solve the task of complex radicals.

## Infinite geometric sequence sum formula and examples

If we have geometric sequence, where $-1 < q < 1$, $q\neq 0$ and number of terms goes to infinity, it is called infinite geometric serie.

## Geometric sequence formulas and examples

A sequence of numbers where each term after the first is got by multiplying the previous one by a fixed number. That number is called the common ratio.

## Arithmetic sequence formulas and examples

A sequence of numbers such that the difference between the consecutive terms is a constant is called arithmetic progression or arithmetic sequence.

## Simplifying square roots with absolute value

The absolute value $|a|$ of a real number $a$ may be thought of as its distance from zero (From geometry point of view).

## Quadratic equations. Vieta's formulas and examples

The solutions $x_1$ and $x_2$ of the quadratic equation $ax^2+bx+c=0$ can be found by special Vieta’s formulas.

## Basic laws of calculating exponents and examples

Get to know the math exponents, their basic properties and review some examples of using that.

## Basic properties of radicals and examples

Get to know the roots of math with their basic properties and review some examples of using that.

## Factoring rules in algebra

Factoring is the math process of finding the factors. It can be called like finding what you have to multiply together to get an previous expression.