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# Geometry/agebra

Question
how do you do algebraic expressions

Algebraic equations are in three different forms.
Some are lines,  some are parabolas, and some involve two variables.

The lines are of the form y = mx + b.  In these, m is the slope
and b is the value at which the line crosses the y axis (where x=0).

The second type is parabolas.  They are of the form y = ax²+bx+c.
The solution to parabolas is y = (-b ± sqrt(b²-4ac))/(2a).
The sum of these two roots is y = -b/a.
If the value in the square-root is negative, there is no solution in the real numbers.
If the value in the square-root is 0, there is only 1 solution.
If the value in the square-root is positive, there are two solutions.

Geometry

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