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Radical
or irrational equations |
Solving
irrational or radical equations |
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| Radical
or
irrational
equations |
| Any
equation where the variable is inside a radical is called an
irrational equation. |
| To solve
an irrational equation we should isolate one of the radicals on
one side of the equation and
get other radicals and terms on the other side of the
equation. |
| Rise both sides of the equation to
a power to remove the radical, and then simplify and solve as we do with any equations.
Repeat the procedure until all radicals are removed. |
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Substitute answers back into original equation to make sure that solutions are valid,
as there could be some additional or extraneous solutions that do not satisfy the original equation.
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| That
is, raising equation
to a power can lead to extraneous
solutions. We must check to be
certain which of obtained values are true solutions. |
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| Solving irrational
or radical
equations |
| Example:
Solve the
irrational equation |
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| Solution:
First isolate the radical and then square both sides
of the equation, |
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| Checking
for the solutions: |
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| Solution: |
| Example:
Solve the
irrational equation |
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| Checking
for the solutions: |
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| Functions
contents A |
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| Copyright
© 2004 - 2012, Nabla Ltd. All rights reserved. |
