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Transcript of S OLVING R ADICAL E QUATIONS Objective: solve simple radical equations and check for extraneous...
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SOLVING RADICAL EQUATIONS
Objective: solve simple radical equations and check for extraneous solutions
How do you undo a square root or a cube root?
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VOCABULARY
Radical Symbol
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Square Root Ex. 9 = 3 ∙ 3
Cube Root Ex. 8 = 2 ∙ 2 ∙ 2
Fourth Root etc.
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RATIONAL (FRACTION) EXPONENTS
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RE-WRITE EACH IN RADICAL FORM:
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REMEMBER…A square root “undoes” a square
A cube root “undoes” a cube
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THEREFORE…A square “undoes” a square root
A cube “undoes” a cube root
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HOW TO SOLVE A RADICAL EQUATION
Step 1: Put in radical form if necessary
Step 2: Get radical symbol alone
Step 3: Square or cube both sides
Step 4: Drop the radical symbol
Step 5: Solve
Step 6: Check your answers!! *Might be
extraneous
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EX 1) SOLVE FOR X
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EX 2) SOLVE FOR X
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EX 3) SOLVE FOR X
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EX 4) SOLVE FOR X
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SOLVE & CHECK SOLUTIONS
x = 17
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SOLVE & CHECK SOLUTIONS
x = 6
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SOLVE & CHECK SOLUTIONS
x = 64
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SOLVE & CHECK SOLUTIONS
x = -1
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SOLVE & CHECK SOLUTIONS
x = 59
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SOLVE & CHECK SOLUTIONS
x = 727
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SOLVE & CHECK SOLUTIONS
x = 1
x = 4
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SOLVE & CHECK SOLUTIONS
x = -2 extraneousx = 1
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SOLVE & CHECK SOLUTIONS
No Solution