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(Section 0.11: Solving Equations)
0.11.9
PART E: SOLVING RADICAL EQUATIONS
We often solve a radical equation
by
isolating
radicals on one or both sides of the
equation and then
raising
both sides to the appropriate positive integer
power
.
WARNING 12
:
If we raise both sides of an equation to an
even
power at
any
step,
we must
check
our tentative solutions at the end and
reject
extraneous solutions
that do not check out. (Raising to an
odd
power does
not
require such a check.)
For example, if we
square
both sides of
x
=
2
, we obtain
x
2
=
4
, which has
2 and
±
2
as solutions. However,
±
2
is an
extraneous solution
that must be
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This document was uploaded on 12/29/2011.
 Spring '09
 Radicals, Equations

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