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Transcript
```Solving Radical Equations
X
equation is one like this
x 5
To solve it, you need only square
both sides of the equation.
( x )  (5)
2
x  25
2
are not that simple. Usually there
are several terms on each side.
So the first step in solving a radical equation
is to get it in a form similar to the first
problem we looked at; that is, get the
radical alone on one side of the equation.
Then square both sides of the equation and
solve the resulting equation.
Example
2  2 x  1  34
2 x  1  32
x  1  16
( x  1)  16
2
Divide both sides by 2.
2
x  1  256
x  255
Subtract 2 from each side.
Square both sides
Subtract 1
Let’s practice a few.
Solve:
1.) x  9
2.)2  x  9
3.)3  2 x  9
Solve
1.) x  9
X=81
2.)2  x  9
X=49
3.)3  2 x  9
X=9
Solve
Find a number such that the square root of
3 less than twice the number is equal to 3.
(write the equation and then solve it)