Transcript Solve Radical Equations PowerPoint

To get started:
1.
Deal the cards on your table to the group
members.


2.
Each group member has a problem to
simplify at the bottom of the card, and
someone else’s answer on the top. Do your
problems on paper.
Your group is paired with another group who
has the same color cards. When you’re
done with your problems, check around for
the answers.
Put up a homework problem and its work,
for a bonus point.
Warm-Up
For #1-3, solve the equation, then answer #4.
1. 3x  1   8
1 1
3x   9
3
3
2. 3  5x  8x  2
5x 5x
3  13x  2
2
2
1  13x
x  3
3. 3  (2 x  1)  5 x  4
13 13
3  2 x  1  5x  4
2 x  2  5x  4
2x
2x
2  7x  4
4
4
6  7x
7
7
6
x
7
1
x
13
4. What’s the opposite operation of:
addition? subtraction
multiplication?
square rooting? squaring
division
Solving Radical Equations
a)  x 3 
2
Plug the
answer into
the original
problem to
check.
x 9
2
Isolate the radical first!
b) 3  4 y  0
3
3
 4 y  3
1
1
 y 3 
4
Don’t forget to
check your
solutions.
4
y  81
4
Isolate the radical first!
1
3
c) 3x  24
3
3
Don’t forget to
1 3
3 check your
x3  8
solutions!
  
x  512
d)
2x  8  4  6
4 4
 2 x  8  10
 
2
2
2x  8  100
8
8
2x  92
2
2
x  46
You don’t want to make this a
radical!
Raise both
sides to
the
reciprocal
power.
e)  x  3 2364
3
2
x  3  4
3
x 3  4
? : 19  3  64
3
2
2
3

2
3
2
x  3  16
3 3
x  19
Don’t forget to
check your
solutions.
f)
4  2 x  3x  16  0

 3x  16  3x  16
 

2
Separate
4  2 x  3x  16
the
4  2x  3x radicals,
16
if
2x 2x there’s
4  5x 16
more than
16
16 one.
20  5x
2
5
5
4  x no solution
Don’t forget to
check your
solutions!!
x2 5  0
g)
? : 4  2(4)  3(4) 16  0
 x  2   5
2

2
x  2  25
2
2
x  23
no solution
?:
23  2  5  0
So, why don’t some solutions
work?
A
solution that does not work, but is
supported by proper algebraic work, is
called an extraneous solution.
 By no fault of your work, the first problem
just didn’t work out. When there are
multiple radicals, be cautious!
 You could can catch some issues easily.
Look x  2   5
here.
 These are the reasons you MUST check
solutions!!