Solving quadratic equations by completing the squareACTIVITY 1 : HOW MANY SOLUTIONS DO I HAVE?

Directions : find the solutions of each of the following equations. Answer the questions that follow.

1. x + 12 = 17
2. s + 15 = -9
3. r - 25 = 12
4. x - 5/6 = 3
5. t + 4/7 = 5
6. x - 3/4 = 1/2
7.(x + 10)squared = 36
8. (w - 9)squared = 12
9. (k + 1/2)squared = 9/16
10.(h - 3/5)squared = 1/2

QUESTIONS:
A. how did you find the solution(s) of each equation?
B.Which of the equations has only equation? Why?
C.Which of the equations has two solution? Why?
D.Which of the equations has solutions that are irrational? Why?
E. Were you able to simplify these solutions that are irrational? Why?
F. How did you write those irrational solutions?

1

Answers

2014-07-27T15:36:47+08:00

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1. x + 12 = 17                            2. s + 15 = -9                          3. r - 25 = 12
x = 17 - 12                                     s = -9 - 15                              r - 25 = 12
x = 5                                              s = - 24                                   r = 37

4. x - 5/6 = 3x - 5/6 + 5/6 = 3 + 5/6

x = 23/6

5. t + 4/7 + ( - 4/7) = 5 + (-4/7)
t = 31/7

6. x = 5/4

7. x = -16
x = - 4

8. w = 21
w = -3

9&10. no answer.

a. by extracting  square root.
b. 1 -6 because they are linear.
c. d. e. and f. no  answer. XDD

that's all. Hope you appreciate my answer.

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