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Luden [163]
2 years ago
8

2. Solve the quadratic equation by completing the square.

Mathematics
1 answer:
Paraphin [41]2 years ago
8 0

The roots of the quadratic equation are:

x = 0.74 - 0.6614i

x = 0.74 + 0.6614i

The given equation is:

2x² + 2 = 3x

Rearrange the equation

2x² -3x = -2

Divide through by 2

x² - (3/2)x = -1

x² - (3/2)x + (3/4)² = -1 + (3/4)²

(x - 3/4)² = -7/16

Square root both sides

x - 3/4 = √(-7/16)

x = 3/4 ± √(-7) / 4

x = 0.75 ± i√(7) / 4

x = 0.74 ± 0.6614i

Therefore, the roots of the quadratic equation are:

x = 0.74 - 0.6614i

x = 0.74 + 0.6614i

Learn more here: brainly.com/question/13981588

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Write two different sentences that use ratios to describe the number of eyes and legs to this picture.
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Answer:

8 legs 4 eyes

Step-by-step explanation:

A hippo and a turtle

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3 years ago
The sides of a triangle measure 2.24 inches, 3.56 inches, and 4.50 inches. What is the perimeter of this triangle? Report the an
kap26 [50]

The perimeter is 10.3.  I think that's already in significant digits, but I'm not sure.  We just got finished learning that in chemistry and it confused me to death!

7 0
2 years ago
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A punch bowl contained 2 liters of ginger ale, 1 liter of orange juice, and 1 liter of cranberry juice. Select all of the statem
loris [4]

Answer:

The ratio of juices to ginger ale is 2 to 2

The ratio of orange juice to the cranberry juice is 1 to 1

Step-by-step explanation:

Ginger ale = 2 liters

Orange juice = 1 liter

Cranberry juice = 1 liter

Total ratio = 2 + 1 + 1 = 4

The ratio of ginger ale to the entire punch bowl is 1 to 4.

Ginger ale : entire punch bowl

= 2 : 4

= 1 : 2

Not true

The ratio of orange juice to ginger ale is 2 to 1.

Orange juice : ginger ale = 1 : 2

Not true

The ratio of juices to ginger ale is 2 to 2.

juices : ginger ale = orange juice + cranberry juice : ginger ale

= 1 + 1 : 2

= 2 : 2

True

The ratio of the entire punch bowl to the juices is 2 to 4.

Entire punch bowl : juices 4 : 2

Not true

The ratio of orange juice to the cranberry juice is 1 to 1.

Orange juice : cranberry juice = 1 : 1

True

7 0
3 years ago
A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were
Feliz [49]

Answer:

e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

99% confidence interval for the difference  in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)

The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.

5 0
3 years ago
The width of a rectangle is 1.9 feet. The perimeter is 7.4 feet. What is the length?
dimaraw [331]

Answer:2.8 feet

Step-by-step explanation:

length(l)=?

breadth(b)= 1.9 feet

perimeter(p)=7.4 feet

we know,

p=2(l+b)

7.4=2(l+1.9)

7.4=2l+3.8

2l=7.4-3.8 (changing side and bringing 3.8 to 7.4 it gets -3.8)

l=3.6/2

l=2.8 feet

Hence,length is 2.8 feet

7 0
2 years ago
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