Perfect Square Equations HONORS

Perfect Square Equations

Multiple Choice

BELLWORK: Simplify: √20

• 2√5

• 4√5

• 5√2

• 2√10

Open Ended

BELLWORK: When solving a quadratic equation, such as x²+9x-36=0, what do the solutions mean in terms of graphing?

Multiple Select

BELLWORK: Google "different names for x-intercepts" and select all terms that are used to refer to x-intercepts on a graph.

• zeros

• solutions

• y-intercepts

• roots

• branches

Open Ended

BELLWORK: Use your resources (the internet or past knowledge) to answer the following question:

What is the difference between a rational and an irrational number? Provide an example of both.

STOP

When solving with square roots, you must consider the positive AND the negative solution.

Example 1: x²=25

Example 2: (x-1)²=4

Example 3:

Solve (x-3)²-4=0

*Perfect Square Form*

Example 3:

Solve (x-3)²-12=0

*Approximate vs. Exact Form*