Solving Radical Equations

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Solving Radical Equations
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A radical equation
is an equation
that contains a radical.
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Did you ever notice
how much sense
mathematical definitions
usually make?
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The goal in solving
radical equations
is the same as the goal
in solving most equations.
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We need to isolate
the variable.
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But there is only one way
to move the variable
out from under the
square root sign.
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We need to square the
radical expression.
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And, because it is an
equation,
what we do to one side,
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And, because it is an
equation,
what we do to one side,
we have to do to the other.
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And now, we need
to simplify
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Remember,
no matter what
n is.
(Even if n is an expression)
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So we have
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So we have
So we have
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Solve for x
Step 1. Simplify the expression
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Solve for x
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Solve for x
Step 1. Simplify the expression.
Step 2. Isolate the radical.
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Solve for x
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Solve for x
Step 1. Simplify the expression.
Step 2. Isolate the radical.
Step 3. Square both sides.
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Solve for x
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Solve for x
Step 1. Simplify the expression.
Step 2. Isolate the radical.
Step 3. Square both sides.
Step 4. Solve the equation.
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Solve for x
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Try this one
Solve for x
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Solve for x