Aim # 41: How do we solve radical equations ? Do Now:
Solve the following:
Now solve this:
(x ­ 5)2 = 16 Key terms:
radical equation ­ ____________________________________________
To Solve a Radical Equation:
To Solve Radical Equations
1. Isolate the radical (if necessary)
2. Square both sides
3. Solve the resulting equation
4. Check for extraneous solutions!
Example) Find the value x algebraically:
check
extraneous solution ­ a solution of a derived equation that is not a solution of the original equation
1) Solve for the variable: check
2) Solve for the variable: check
3) Solve for the variable: check
Practice: Solve and check for any extraneous solutions. 4) 5) 6) 7) 8) 9) Challenge : Solve on a separate sheet of paper! Sum It Up
• To solve advanced radical equation, we still use the same method as before, but we sometimes cannot isolate one radical if there are multiple.
• However, we can still obtain extraneous solutions (that do not check).
• Always check for extraneous solutions!
Name: ___________________
Aim Exit Ticket
Consider the radical equation 3√6 ­ x + 4 = ­8.
a) Solve the equation. b) Check your solution.
Aim Exit Ticket
Name: ___________________
Consider the radical equation 3√6 ­ x + 4 = ­8.
a) Solve the equation. b) Check your solution.