1. Solving Equations by Extracting Roots
AII.4b

2. Solving Equations with Exponents
Solve
4 𝑥 2 −36=0
4 𝑥 2 =36
𝑥 2 =9
Isolate the variable
What is the inverse operation to ‘squaring’?
𝑥 2 = 9
𝑥=±3
Simplify both sides
Why is it ±? Remember, we are looking for the value of x, that gives us 9 when it is squared. What is 3 2 ? What is (−3) 2 ? Anytime you are looking for a value that is squared, you will have a ± in your answer since squaring both a positive and negative rational number gives you a positive product.

3. Solving Equations with Exponents
Solve
Isolate the variable
What is the inverse operation to ‘squaring’?
Simplify both sides

4. Solving Equations with Exponents
Solve
Isolate the variable
What is the inverse operation to ‘squaring’?
Simplify both sides

5. Solving Equations with Exponents
Solve
Isolate the variable
What is the inverse operation to ‘cubing’?
Simplify both sides