Answer with solutions.Find the corresponding roots in the box for the given quadratic
equations and get the letters to decode the hidden message . You
may use the extracting the square root method
P:±6
M: ±7
C:5,6
A : 0
J:4,-1
Q:±√5
L:±11
H:±4
D:-4,1 I:±3
S:16,-6
Y: ±8
B:±4√2
E:±2
A:0,-4
U:6,0
U:±√10
N:6,-16
G:1,-1
T:±2√2
O:±6√2
V:±√3
I:±5
J:-7,-1
K:5,-2
W:±12
F:±2√3
X:±6
R:0,-6
•:9±√6
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Message : __________________________________
________________________________________
1. x2 = 49
2. x2 -27 =0
3. 3x2-36= 0
4. 9x2 = 0
5. 5x2- 15=0
6. 2x2- 144=0
7. ( x + 3)2 = 9
8. 4x2 -100 =0
9. 5x2 = 40
10. 3x2 -12 = 0
11. (x-5)2
Answers
The corresponding roots of the quadratic equations are given.
What are Quadratic Equations?
Quadratic expressions are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
1. x² = 49
Find the square root.
x = ±√49 = ±7
2. x² - 27 = 0
x² = 27 = 9 × 3
x = √27 = √(9×3) = √9 × √3 = ±3√3
3. 3x² - 36 = 0
3x² = 36
Divide 3 on both sides.
x² = 12
x = √12 = √(4 × 3) = ±2√3
4. 9x² = 0
x = 0
5. 5x² - 15 = 0
5x² = 15
x² = 3
x = ±√3
6. 2x² - 144 = 0
2x² = 144
x² = 72
x = √72 = √(36 × 2) = ±6√2
7. (x + 3)² = 9
x + 3 = √9
x + 3 = ±3
x = 3 - 3 = 0 and x = -3 - 3 = -6
8. 4x² - 100 = 0
4x² = 100
x² = 25
x = ±√5
9. 5x² = 40
x² = 8
x = √8 = √(4 × 2) = ±2√2
10. 3x² - 12 = 0
3x² = 12
x² = 4
x = ±2
11. (x - 5)² = 121
x - 5 = √121
x - 5 = ±11
x = 11 + 5 = 16 or x = -11 + 5 = -6
Hence the solutions are found.
Learn more about Quadratic Equations here :
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Related Questions
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115%of what number is 84.87
Marylou buys a package of 50 jewels to decorate 4 different pair of jeans.She uses the same number of jewels on each pair of jeans.How many jewels will she use for each pair of jeans?
Which inequality will have a shaded area below the boundary line? A. y - x > 5 B. 2x - 3y < 3 C. 2x - 3y < 7 D. 7x + 2y < 2 E. 3x + 4y > 12
A. f(x) = -3(1/5)^x-1
B. f(x) = -3(1/5)^x-1
C. f(x) = -1/5(3)^x-1
D. f(x) = -1/5(-3)^x-1
Answers
first term is -3
an=a1(r)^(n-1)
for a1=first term
r=common ratio
n=which term
in this case
first term=-3
common ratio is -1/5
so
none of them
oh, A and B are the same
the one that has the -1/5 inside is the one
The one that has the -1/5 inside is the one.
each term is multiplied by -1/5.
The first term is -3
What is the formula for the sequence?
for a_1=first term
r=common ratio
n=which term
In this case
The first term=-3
The common ratio is -1/5
so,
None of them A and B are the same
The one that has the -1/5 inside is the one.
To learn more about the sequence visit:
#SPJ5
Answers
that would be 2 apples. :)
Answers
Hope it helps
Answer:
Correct option is B.
Step-by-step explanation:
Given some equations we have to choose the equation which can be used to model simple harmonic motion.
The basic equation for simple harmonic motion are
x = acos(wt) and x=asin(wt)
where x is displacement from resting position,
a is the amplitude, which is the largest displacement the object experienced, w is the angular velocity or angular frequency and t is the time.
From the given options B option matches i.e
d=acos(wt)
is the equation can be used to model simple harmonic motion.
So, correct option is B.
a. True
b. False
Answers
Answers
Answer:
Given: A recipe calls for 16 fluid ounces for light whipp cream.
Using: 1 fluid oz = 0.0625 pints
Ratio defined as a relationship between two numbers indicating how many times the first number contains the second.
i.e, a to b or a: b
By using ratio:
As we need 16 fluid ounces
Multiply by 1 in the form of i,e
⇒
Therefore, for 16 fluid ounces we need 1 containers of 1 pints each
Answers
If you get 20% of 13,666 you get 819.96
If you get 20% of 13,667 you get 820.02
and if you get 20% of 13,665 you get 819.90
so if they want you to round the cents then 13,666 would be your answer because when you do this ----> 13,666X.06=819.96 you might have to round the 6 to 9 which makes 819.96 into 820 so answer is B