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# Solve Absolute Value Equations

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## M Johnson

on 21 September 2015

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#### Transcript of Solve Absolute Value Equations

Absolute Value Equations have two possible solutions
Example problem:

Solve for x

3 = |x+2|
One of the two Solutions
x = 1
Solve the Positive Equation
3 = |x+2|

<Drop absolute value symbol and solve for x>

<Subtract 2 from both sides> 3 - 2 = x+2 - 2

Isolate the unknown
3 = |x+2|

Once the equation has been simplified, get ready to solve for the TWO possible values of x; the positive one, and the negative one
The Other Possible Solution
x = -5
Solve the Negative Equation
<Make the equation negative by making the number in the equation negative. NOT both sides of the equation>

3 = |x+2| becomes -3 = |x+2|

<Drop absolute value symbol and solve for x>

<Subtract 2 from both sides> -3 - 2 = x+2 - 2
Solve Absolute Value Equations
Positive Equation
Negative Equation
x = 1
x = -5