1. Algebra 2
7.6 Solving Radical Equations
Rules for solving equations:
**_________________ the order of operations—everything that has been done to x.
What is the order of operations?
Note: 3
x + 2 is the same thing as ___________________.
How do you “undo” a root like 3 x + 2 ?
Raise both sides of the equation to the _________________________ power.
EX1: Solve 3
x −4 = 0.
EX2: Solve 2x 3/2 = 250 .

2. Solving an equation with one radical.
EX3: 4x − 7 + 2 = 5
Solving an equation with TWO radicals.
Before raising both sides to the same power, rearrange the equation so that each
side has only one radical.
EX4: 3x + 2 − 2 ξ = 0
Raising an equation to a power can sometimes give you __________________________.
This means an answer that doesn’t fit in the _______________________ equation.
EX5: Solve x − 4 = 2 ξ