1. Pre-calc w-up 10/21
simplify

2. 4.7 Radical Equations and Inequalities
Equations which radical expressions include variables are radical equations.
When you raise each side of an equation you can produce extraneous solution
These are solutions that do not satisfy the original equation
Therefore, you must always check your answers

3. Solve for x – must check for extraneous solution

4. Try this one on your own Ex2:
Don’t forget to check:

5. Ex3: Solve – a little more difficult
You’ll have to square each side more than once  good times

6. We use the same procedure to solve radical inequalities
We use the same procedure to solve radical inequalities. Remember you we want real answers so we cannot have negatives under the radical
-1.25 < x < 23.75
Can’t have a negative in the square root so lets solve the stuff under the radical sign:
4x+5 > 0
4x > -5
x > -1.25
FINAL ANSWER IS…

7. SUMMARY:
4.7 page 255 # and