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6.3 Absolute Value Equations
1
May 06, 2013
Solving equations
6.3 Absolute Value Equations
Solve for x:
2x + 3 = 11
What's x?
6.3 Absolute Value Equations
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May 06, 2013
Solving equations
6.3 Absolute Value Equations
How about this...
|2x + 3| = 11
Now what?
6.3 Absolute Value Equations
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May 06, 2013
Solving equations6 6.3 Absolute Value Equations
Think of the graph...
6.3 Absolute Value Equations
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May 06, 2013
Solving equations
6.3 Absolute Value Equations
The values inside the absolute value can be positive or negative. Therefore, we have to solve two equations and check for extraneous solutions!
6.3 Absolute Value Equations
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6.3Example 1Solve an Absolute Value EquationSolve |x – 3| = 7.
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6.3
Solve |6 – x| = 2 graphically and algebraically.
TO GRAPH: Graph the functions f(x) = |6 – x| and g(x) = 2 on the same coordinate grid to see where they intersect.
Example 2
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6.3Example 3Solve |2x – 5| = 5 – 3x.
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6.3Example 4Solve |3x – 4| + 12 = 9.
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6.3Example 5Solve |x2 – 4x 5| = 7
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6.3
Example 3: Your Turn
Answer
Solve |x + 5| = 4x – 1.
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6.3
Example 4: Your Turn
Answer
Solve |4x – 5| + 9 = 2.
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Homeworkp389#46
