SOLVING RADICAL EQUATIONS AND WORD PROBLEMS
To solve a radical equation:
1.
2.
3.
4.
Isolate the radical on one side of the equation.
Raise each side of the equation to the same power that will eliminate the radical.
Solve the polynomial equation.
Check your solution(s).
Remember:
- Raising each side of an equation to the same power may create extraneous solutions. Be sure to
always check your answers in the original equation.
Name
Period
Date
Solve the equations and write your answers in the answer box. Make sure to show all your work!
1. 3 4 − 3x + 5 = 17 €
Answer:
12
2. ( 3x 2 − 2) + 4 = 9 €
Answer:
3. 3 x + 5 + 2 = 7 €
Answer:
4. 10 − 3
3
2x + 5 = −11 €
Answer:
5. 3 x 3 + 3 +1 = 4 €
Answer:
6. 1
( x − 3) 3 4 + 6 = 9 2
€
Answer:
7. 2(5x 2 +10)
23
− 5 = 45 €
Answer:
8. 3 6x − 5 − 3 3x + 2 = 0 €
Answer:
9. 5 8x +11 = 5 5x − 4 €
Answer:
10. x + 8 = x + 3 €
Answer:
7