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Radical Unit
Solving Radical Equations
Medina
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Solving Radical Equations
Solve: get the letter by itself
variable
1. Get the radical symbol
by itself
2. Square both sides
3. Get the letter by itself
4. Check for Extraneous
A solution that does satisfy
Solution
the original equation
Medina
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Solving Radical Equations
To Solve:
Check for an Extraneous Solution:
x  4
 x   4 
2
x  4
1x6  4
2
x  16
4  4
Medina
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Solving Radical Equations
To Solve:
Check for an Extraneous Solution:
x 4 0
4 4
 x   4 
2
x 4 0
1x6  4  0
2
4 4 0
x  16
Medina
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Solving Radical Equations
To Solve:
Check for an Extraneous Solution:
3 x  9
3 2
3
2
 x    3
x 9
3 x  9
3 x
9  9
 3 3  9
9  9
Extraneous Solution
Medina
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Solving Radical Equations
To Solve:
Check for an Extraneous Solution:
2x  2 
2
 2x  2  
2x  2 
2
2x 
2
8
2x  2   8
2
 8 2 x31  2   8
64
62  2   8
2


8
64
62


8
8
2
Extraneous Solution
x  31
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