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➤ Activity 6: How Well Did I Understand?

Answer each of the following.

1. Which of the following quadratic equations may be solved more appropriately by factoring? Explain your answer.

a. 2x ^ 2 = 7 ^ 2

b. t ^ 2 + 12t + 36 = 0

c. w ^ 2 - 64 = 0

d. 2s ^ 2 + 8s - 10 = 0

2. Patricia says that it's more appropriate to use the method of factoring than extracting square roots in solving the quadratic equation
4x ^ 2 - 9 = 0
Do you agree with Patricia? Explain your answer.

3. Do you agree that not all quadratic equations can be solved by factoring? Justify your answer

by giving examples.

4. Find the solutions of each of the following quadratic equations by factoring. Explain how you arrived at your answer.

a. (x + 3) ^ 2 = 25

b. (s + 4) ^ 2 = - 2s

c. (2t - 3) ^ 2 = 2t ^ 2 + 5t - 26

d. 3 * (x + 2) ^ 2 = 2x ^ 2 + 3x - 8

5. Do you agree that
x ^ 2 + 5x - 14 = 0 and 14 - 5x - x ^ 2 = 0 have the same solutions? Justify your answer.

6. Show that the equation
(x - 4) ^ 2 = 9
can be solved both by factoring and extracting square roots.

7. A computer manufacturing company would like to come up with a new laptop computer such that its monitor is 80 square inches smaller than the present ones. Suppose the length of the monitor of the larger computer is 5 inches longer than its width and the area of the smaller computer is 70 square inches. What are the dimensions of the monitor of the larger computer​

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