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Radical Equations: Example 1
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Solve
Information for
Solving Radical Equations
To solve most equations, we usually isolate x. Can we add 4 to both sides here?
We could, but it wouldn't help because it would be outside the square root sign on the left.
What can we do?
Raise both sides to the same power.
What power is helpful here?
The second power, or we need to square both sides.
Do it.
, or
7
x
– 4 = 9
Now can we add 4 to both sides?
Yes, this will help because the 4 on the left is no longer under a square root sign.
Do it.
7x = 13
Solve for x
How can we check this result?
We can substitute it into the
original equation
.
Do that.
We get
3 = 3 It checks!
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General Contents
Detailed Contents
Index