May 02, 2013
Lesson 10.6
Solving Radical Equations
Suppose a and b are algebraic expressions.
If a = b, then a2 = b2.
Solve
check
If both sides of an equation are raised to the same integer
power, the resulting equation contains all solutions of the
original equation and perhaps some solutions that do not solve
the original equation.
Solve
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To Solve Radical Equations
1. Isolate the radical(s) if necessary.
2. Raise both sides of the equation to the same power
as the root index of the isolated radical(s).
3. If all radicals have been eliminated, solve. If a
radical term remains, isolate that radical and raise
both sides to the same power as its root index.
4. Check each solution. Any apparent solution that
does not check is an extraneous solution.
Solve each. Check for extraneous solutions.
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Solve each. Check for extraneous solutions.
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Solve each. Check for extraneous solutions.
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