The document discusses radical equations, which contain radical expressions. It explains that a radical equation can be solved by squaring both sides of the equation to remove the radical terms, then solving the resulting equation. Two examples of solving radical equations are shown step-by-step: solving 5x - 1 = 8 by squaring both sides and then solving the equation, and solving 9x + 1 = 4x - 26 using the same method.

1. RADICAL
EQUATION
S

2. WHAT DOES A RADICAL LOOK LIKE?
푛 푎 RADICAL SIGN
RADICAND
INDEX
EXAMPLES:
144 , 2 64, 3 27

3. R A D I C A L E Q U A T I O N S
- AN EQUATION CONTAINING A
RADICAL EXPRESSION

4. HOW TO SOLVE RADICAL EQUATIONS
EXAMPLE:
5푥 − 1 = 8
( 5푥 − 1)2 = (8)2
5x – 1 = 64
5x = 64 – 1
5푥
65
=
5
5
X = 13
GIVEN EQUATION
SQUARE EACH SIDE
EVALUATE
FINAL ANSWER

5. EXAMPLES
3푋 + 3 = 9
3푋 = 9 - 3
( 3푋)2 = (6)2
3푋
3
=
36
3
X = 12
9푋 + 1 = 4푋 − 26
9푋 + 1 2 = ( 4푋 − 26)2
9x + 1 = 4x + 26
9x – 4x = 26 - 1
5푥
5
=
25
5
X = 5

6. GAME TIME