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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.

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