Activity 6: Extract Me!, Solve The Following Quadratic Equations By Extracting Square Roots. Answer The Questions That Follow,, 1. X\Xb2= 16, 6. 4x -

Activity 6: Extract Me!

Solve the following quadratic equations by extracting square roots. Answer the questions that follow,
1. x²= 16
6. 4x - 225 = 0
2. т² = 81
7. 3н²-147=0
3. r² - 100 = 0
8. (x-4)2 = 169
4. x² - 144 = 0
9. (k+7)2 = 289
5. 2s² = 50
10. (2s - 1)² = 225
Questions:
a. How did you find the solutions of each equation?
b. what mathematics concepts
did you apply in finding the
Explain how you applied there.
or principles
solutions?
C. Compare your answer with those of your
classmates. Did you arrive at the same
solutions? If Not explain.

 

Answer:

1. x^2=16

x = +/-4

Square root is simply a number multiplied by itself.

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25, so on and so forth

**Note: a negative multiplied with a negative still has a positive product

Therefore, the possible root of any positive number would be a + and -.

2. T^2=81

T^2-81=0

(t+9)(t-9)=0

t+9=0 and t-9=0

T=+/-9

3. r^2-100=0

(r+10)(r-10)=0

r+10=0 and r-10=0

r=+/-10

4. x^2-144=0

(x-12)(x+12)=0

x-12=0 and x+12=0

x=12 and x=-12

5. 2s^2=50

2 2

s^2=25

s^2-25=0

(s+5)(s-5)=0

s+5=0 and s-5=0

s=+/-5

6. 4x-225=0 (Is there a typo here)

7. 3h^2-147=0

3h^2=147

3 3

h^2=49

h=+/-7

8. (x-4)^2=169

x-4=+/-13

x=+13+4 and x=-13+4

x=17 and x=-9

9.(k+7)^2=289

k+7=+/-17

k=+17-7 and k=-17-7

k=10 and k=-24

10. (2s-1)^2=225

2s-1=+/-15

2s=+15+1 and 2s=-15+1

2s=16 and 2s=-14

2 2

s=8 and s=-7