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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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8.1: The Square Root Property

Given an equation that looks like u2=d , be sure to isolate the u2 term, then take the square
root of both sides. The answer will look like:

If d>0 ,   OR If d<0 ,

Because you are introducing the square root into the problem, be sure to remember to add a the
plus or minus sign!

8.2: Completing the Square

Given a trinomial that does not factor, we can rewrite the equation by constructing a perfect square
trinomial (completing the square).

First, move all constants to the right hand side, then complete the square by adding (b/ 2)2 to
BOTH sides of the equation. The left hand side now factors as a perfect square trinomial, and the
square root property from 8.1 can be used to finish the problem.