Download Solving Radical Expression

Solving Radical Equations
Chapter 9.6
When solving a radical equation:
1. Isolate the radical
7  x  4 1
2. Square both sides
3. Solve for the variable
7  x  4 1
1
1
6  x4
Can’t have
anything by
radical.
When solving a radical equation:
1. Isolate the radical
2. Square both sides
3. Solve for the variable
6 
2

x4
36  x  4

If you square a
square root, they
cancel out.
2
Expression
without radical.
When solving a radical equation:
1. Isolate the radical
2. Square both sides
3. Solve for the variable
36  x  4
4
4
40  x
Use the inverse.
Radicals on Both Sides:

5x 2  2x11
5x  2
 
2
2x 11
• Square both sides,
2 radicals will disappear.

• Move variable terms to
one side, numbers to the
other using inverse.
5x  2  2x 11
2x 2x
3x 2  11 • Solve for x.
2 2
Divide both sides by 3.
3x  9
x  3
In your notebooks: Solve for x
1)
5x  6  3x  5
2)
x4  x5
No solution
x = 5.5
Homework: pg 443-444
(1-5 odds, 9-17 all, 21-29 odds)