Alg Spiral #2 -Solving Quadratics by Taking the Square Root

​Another way to solve quadratics...

​How are the follow ing quadratics different than the ones you know?

Be prepared to answer this question on the next page​

Multiple Select

How are the quadratic functions on the previous slide different than what you are used to seeing? (Hint: there might be more than one answer!)

• There are only two terms

• There is no "b" term

• Not all the equations are equal to 0

1. Take out GCF

2. Difference of Two Perfect Squares​​

​There are a few different methods we know to use:

​When there are only two terms...

Some text here about the topic of discussion

​You are going to learn a third way to solve a quadratic binomial today!

​Solving Quadratics by Taking the Square Root

Squaring and square root

​

are ______________ operations​

Our goal is to always get x by itself!

​inverse

​Steps to solve:

its called a "plus minus" sign

​Use these examples to help you answer the question on the next page:

Draw

Solve using the square root method:

$$x^2=36$$  

Look at the following equation​:

​

​Sometimes there has to be more moved in order to isolate the x² value.

​Now, time for you to practice.

​Get the notes/practice page out. Complete these problems. When you finish, check your answers using the answer key on Schoology.

​

Good luck!​ Remember inverse operations and your goal is to isolate the x² term. ​

Multiple Choice

Solve using square roots.
5b² - 4 = 41

• b = 9, b = -9
• b = 3, b = -3
• b = 8, b = -8
• no solution

Multiple Choice

Solve using square roots.
k² - 6 = 43

• k = √37
• k = 37 or - 37
• k = 7, k = -7
• no solution

Multiple Choice

Solve for h.
(h - 2)² = 9

• h = 5, -1
• h = 5, -5
• h = 5
• h = -1