Activity
Here are three methods for solving .
Carefully examine each method.
Method 1: |
Method 2: |
Method 3: |
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Once you understand the methods, use each method at least one time to solve these equations.
1.
Compare your answer:
Method 1 is used here, but any of the three methods would work.
2.
Compare your answer:
Method 2 is used here, but any of the three methods would work.
3.
Compare your answer:
Method 1 is used here, but any of the three methods would work.
4.
Compare your answer:
Method 1 is used here, but any of the three methods would work.
5.
Compare your answer:
Method 3 is used here, but any of the three methods would work.
6.
Compare your answer:
Method 3 is used here, but any of the three methods would work.
Are you ready for more?
Extending Your Thinking
1.
Solve the equation , then choose the two roots.
A.
B.
C.
D.
E.
Compare your answer:
C. , E.
2.
Be prepared to show your reasoning for your solution.
Compare your answer:
Using the techniques of this lesson, the first step is to divide both sides of the equation by 2 to obtain , and then complete the square.