# Algebra

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

## Finding equation of the line that is perpendicular to given one

Find the equation of the line that is perpendicular to the $y = 4x - 1$ and passes through the point $(8,5)$ ?

## Write linear function equation, when we have a slope and one point

Write linear function equation, if $m = 0.5$ and point with coordinates $(3,12)$ belongs to this function. How solve this task?

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

If we have quadratic equation $ax^2+bx+c=0$, then the discriminant of the quadratic equation is the number D and it is found by formula.

## Basic properties of logarithms

The logarithm of a given number b is the exponent to which another fixed number, the base a, must be raised, to produce that number b $(a>0, \ a\neq 1, \ b>0)$.

## Short multiplication formulas [Polynomial identities]

Square of sum and difference, difference of squares, cube of sum and difference, sum and difference of cubes formulas.