Solve the quadratic equation x2 – 2x – 3 = 0 by completing the square

Answers

Answer 1

The quadratic equation x2 – 2x – 3 = 0 by completing the square is x = 1, −3

What is a quadratic equation?

Quadratum, the Latin word meaning square, is where the word “quadratic” originates. An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

[tex]x^{2}[/tex]+2x−3 = 0

Add 3 to both sides of the equation.

[tex]x^{2}[/tex]+2x=3

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.

(b/2)2=[tex](1)^{2}[/tex]

Add the term to each side of the equation.

[tex]x^{2}[/tex]+2x+[tex](1)^{2}[/tex]=3+[tex](1)^{2}[/tex]

Simplify the equation.

x2+2x+1=4

Factor the perfect trinomial square into [tex](x+1)^{2}[/tex]

[tex](x+1)^{2}[/tex]=4

Solve the equation for x.

x =1, −3

Hence, x =1, −3 is the correct answer.

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Related Questions


Weather observations sites
like the one shown in this
image measure many
things about the weather.
Which of the following is
NOT one of the aspects of
weather measured by such
a site?

A. relative humidity
C. wind speed
B. seismic activity
D. air temperature

Answers

A seismic activity is not one of the aspects of weather measured by such a site.

What is a seismic activity?

This involves the measurement of the frequency, type and size of earthquakes experienced over a particular time period.

Hence, this is the reason it is is not one of the aspects of weather measured by such a site.

Therefore, the Option B is correct.

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What is the length of pR?
40°
a
110°
110°
X
© A. 11
• B. 13
• C. 81
• D. 9

Answers

Answer:

9

Explanation:

21÷7=27÷x

21×x=27×7

21x=189

x=9

From 1946 to 1958, the United States used Bikini Atoll, located in the Marshall Islands, as a testing site for which of these purposes?
A.
Aboriginal settlements
B.
nuclear weapons
C.
copra factories
D.
South Pole explorations

Answers

B, bikini Atoll is know for its mass nuclear bomb testing preformed by the United States

Which of the following examples best illustrates the diffusion of American
popular culture?
O
A. Cafés serving espresso in Italy
B. Starbucks coffee shops opening in China
C. Bollywood movies from India being sold in the United States
D. TexMex restaurants becoming popular in Chicago

Answers

Answer:

B

Explanation:

Starbucks opening in China is from American popular culture, so that means it's answer

Answer:

B

Explanation:

Starbucks coffee shops opening in China

Rank the following locations from highest elevation to lowest elevation (p. 170-171):
Kolkata, Mecca, Mt. Everest, Tashkent, Plateau of Tibet.


Mt. Everest, Plateau of Tibet, Mecca, Kolkata, Tashkent
Plateau of Tibet, Mt. Everest, Tashkent, Mecca, Kolkata
Plateau of Tibet, Kolkata, Tashkent, Mt. Everest, Mecca
O Mt. Everest, Plateau of Tibet, Tashkent, Mecca, Kolkata
Plateau of Tibet, Tashkent, Mt. Everest, Mecca, Kolkata

Answers

Answer:

Mt. Everest, Plateau of Tibet, Tashkent, Mecca, Kolkata

Explanation:

Mt. Everest Elevation: 8,849 m

Plateau of Tibet: 4000 m

Tashkent: 455 m

Mecca: 277 m

Kolkata: 9.14 m

Discuss the prospects for economic development and increases in the quality of life in Sub-Saharan Africa.

Answers

Sub-Saharan Africa has the world's lowest total gross domestic product (GDP), the measure of everything produced in a very given country or region.

Its average GDP per capita, or the GDP divided by population, is simply under four thousand dollars, which is one-fifth of the globe average.For centuries, geographical region was home to prosperous empires that made groundbreaking advances in architecture, mathematics, and metalworking. By the top of the fifteenth century, Europeans had begun arriving within the region, eager to acquire resources like gold, copper, and rubber.The factors that affect economic process include political systems, social settings, economic freedom, human capital and institutional organization. These factors affect not only productivity, but also efficiency.

The quality of life in sub- saharan africa is 41% of the population resides at but $1.90. geographic area has both the best rates of youngsters living in extreme poverty at just below 50 per cent, and also the largest share of the world's extremely poor children, at just over 50%.

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distributors are formed when a river reaches near its mouth

Answers

Answer:

This statement is very true.

True or False: Preserving rainforest decrease the global effects of climate change
Group of answer choices

True

False

Answers

Answer:

true

that is my answer I believe

Answer:

true

Explanation:

because rainforest help in the rain cycle

What is the ground distance between A and B . Measure 16cm from the paper if the scale is 1:50,000​

Answers

The distance between points A and B is 800000 cm which is equal to 8 km.

What is the meaning of a scale of 1:50,000?

A map would often indicate its scale numerically ("1:50,000", for instance, means that one cm on the map represents 50,000cm of real space, which is 500 meters).

Calculation of Distance between A and B = 16 x 50,000 = 8,00,000 cm.

Thus, the ground distance between points A and B is 8000 meters.

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1 international relations, foreign Ploricy
Objectives behaviors, and dimensions) in German

Answers

Answer:

A

Explanation:

international relations, foreign Ploricy

Objectives behaviors, and dimensions) in German.

Two ways in which Colombia solved the problem of friction between two political parties were: allowing free elections alternating four-year terms between parties dividing the offices equally between the two parties declaring one party the absolute power

Answers

Colombia found two solutions to the issue of conflict between its two major parties i.e, The two parties will share the offices evenly and Serve alternate four-year terms.

How did Columbia solve the problem of friction between two political parties?

Colombia sorted out the dispute between the two parties by-

In order for both parties to effectively serve the public, alternating times give each party an equal opportunity to work in the foreground.Division of the offices, enabling impartial, undisputed judgments and equal decision-making roles for each side.

Therefore, In order to avoid conflict between the two political parties, Columbia decided to divide up the offices equally and have the parties serve alternating four-year terms.

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things that hinders to do outdoor, recreational activities

Answers

Answer:

1. Bad weather

2. Unforeseen accidents

3. Ongoing construction

4. Area development

5. Traffic

and some others...

Why are rain forest wet and hot ?

Answers

Answer:

no rain forest was cool mark brainlist

Because they are located on the equator, the sun rays directly hit (why they are hot) and the air pressure is lower (why they are wet).

Explain how the layers of the Earth are connected and affected by each other?

Answers

Explanation:

Shifting plates in the mantle caused by variations in the core's heat can cause earthquakes and volcanic eruptions because each layer of the planet has a unique chemical composition, physical state, and potential to effect life on the surface.

Which country in Africa is located north of the equator?
O A. Tanzania
OB. Namibia
O C. Ethiopia
OD. Angola

Answers

Answer: Ethiopia

Explanation: it is the only one that is above the equator. The rest are below the equator.

how do i find the percentage of global migrants comprise of the world's population?

Answers

The percentage of global migrants is derived by number of immigrants minus the number of emigrants divided by the person-years lived by the population of the receiving country over that period.

What is a global migrants?

This refers to the number of people that have migrated into another country.

Today, the international migrants represent about 3.6 per cent of the world's population.

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In an axiomatic system, which category do points, lines, and planes belong to?

A.
theorems

B.
axioms

C.
undefined terms

D.
definitions

.

Answers

Answer: C. undefined terms

What are Riverine Islands?

Answers

Answer:

A landmass formed within a river is known as riverine islands. Riverine islands are formed when rocks and mud gets deposited in the river bed by flowing rivers.

Simply an island or landmass in the middle of a river, formed by rock or mud that gets deposited in the river. The most famous example of a Riverine island is Manhatten Island.

what were the Major geologic process of the precambrian and Paleozoic eras in the horn of Africa?​

Answers

denudation

Explanation:

The Paleozoic Era lasted for about 375 million years. The major geological process of this Era was denudation. The gigantic mountains that were formed by the Precambrian orogeny were subjected to intense and prolonged denudation. At the end, the once gigantic mountain ranges were reduced to a “peneplained” surface.

Denudation was an important geological phenomenon in the Precambrian and Paleozoic ages in the Horn of Africa.

What were the Precambrian and paleozoic epochs like?

The Precambrian (or Pre-Cambrian, or Cryptozoic) period of Earth's history before the present Phanerozoic Eon. The Precambrian is called after the Precambrian epoch, which preceded the Cambrian. The Precambrian period encompasses 88 percent of Earth's geologic history.

PALEOZOIC

The Paleozoic (or Palaeozoic) Era is the first of the Phanerozoic Eon's three geologic periods. The Cambrian, Ordovician, Silurian, Devonian, Carboniferous, and Permian epochs span 541 to 251.902 million years ago.

Thus, a major geological process of that era was denudation in the horn of Africa.

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Why do natural borders affect people and places ? Use an Example

Answers

Natural borders tend to change due to climate and other causes. Natural borders that are formed around mainly rivers and lakes, to some extent ocean have the largest effects on people. An example of river one is the Natural border of the Rio granda river that borders the states of Texas and Mexico. The change in the Rio granda river caused texas to lose 367 acres of land to Mexico and caused commotion among the US citizens now living in Mexico due to the change of the River. Another example is the flooding of holand in the Netherlands in the past. Due to rising sea levels areas of Holand netherlands are being flooded which effects people and places

Discuss the adverse environmental consequences of China’s industrial development, especially within the urban regions where export-oriented industries are concentrated.

Answers

The adverse environmental effects of industrialization in China mainly in the urban cities resulted in harmful diseases to the people living in the cities.

What is industrialization?

Industrialization is the scenario where work in industries is more prevalent in comparison to the work in the handmade industry. It is a shift from handmade art to machinery production.

During industrialization, the water pollution increases causing cholera, and hepatitis type diseases, the air pollution causes lung cancer, respiratory diseases, etc. the emergence of desertification, the scarcity of water, inefficient use of natural resources, etc. These all negatively impact the environment in the everyday lives of people.

Therefore, the negative effects on the environment due to industrial development in the country of China have been described as above.

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What is the so called "democracy deficit" in the EU?

Answers

Answer:Democratic deficit' is a term used by people who think that the EU institutions and their decision-making procedures suffer from a lack of democracy and seem inaccessible to the ordinary citizen due to their complexity.

Explanation:

Give reasons fpr the following

1 The temperature and salinity is high in
Red sea.

Answers

Answer:

The northern part of the Red Sea recieves water from Gulf of Suez. The rate of evaporation is lower in the northern part of the Red Sea. The nothern part of the Red Sea is a landlocked sea. Salinity and temperature currents of Indian Ocean largely regulate the salinity and temperature of southern end.

Designer babies is the ability to willfully choose the genetic makeup of your offspring to maximize human traits that you/society find valuable. This practice will result in a wider gap of inequality among the global social classes.
Group of answer choices

True

False

Answers

Answer:

False.....................

Answer:

true

Explanation:

ther are some people who may prefer boys or girls alone in a community so the will be no balance

Which is a way to protect your identity?
A.Provide your credit information when a bank calls you.
B.Avoid use of debit cards for online purchases.
C.Enable location tracking on your smartphone.
D.Keep your Social Security card with you.

Answers

A good way to protect your identity will be to:

D. Keep your Social Security card with you.

What is a social security card?

A social security card is a nine-digit number that is assigned to all United States citizens. This card and the number contained in it can be used to report to work and lay claims to income and other benefits.

If this card is not handled with care, there is a risk of it being used by fraudsters who engage in identity theft. So, a good way to protect your identity is to always keep your Social Security dieting with you.

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What do advocates of free trade consider an advantage of specialization?
OA. Specialized exports offer safety from low prices.
B. Specialization assures better labor conditions.
C. Countries use tariffs to protect their specialties.
O
D. Each country focuses on what it can do best.

Answers

Answer:

OD. Each country focuses on what it can do best.

Explanation:

:)

in which condition is sprinkler irrigation used


site suitability of sprinkler irrigation​

Answers

Answer:~ If the soil is very pervious, the sprinkler irrigation can be used, because it will be difficult to achieve good water distribution by the surface irrigation.

Explanation:~ If the soil depth is shallow, the sprinkler may be used.

Which Greek geometer founded a philosophical society that devoted itself to the study of mathematics?

A.
Thales

B.
Pythagoras

C.
Euclid

D.
Hippocrates

Answers

Answer:

B is the answer

Explanation:

B. Pythagoras

Answer:

is it Pythagoras?

Explanation:

European colonies expanded deeper into Southeast Asia in the 1700s for all of these reasons except _____.
Europeans wanted to increase trade with local craftspeople
Coffee and tea grown in Asia became popular in Europe
Europe's population increased demand for coffee and tea
Europe needed markets for manufactured goods
(Gradpoint)

Answers

The European colonies expanded deeper into Southeast Asia in the 1700s  because:

Coffee and tea grown in Asia became popular in EuropeEurope's population increased demand for coffee and teaEurope needed markets for manufactured goods

Where did the European colonies dominated?

The European colonies such as France, Britain, Germany dominated the China, Japan, India for economic benefit.

However, the need to increase trade with local craftspeople is not the reason for the expansion.

Therefore, the Option A is correct.

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How do topography and landscape affect settlement location​

Answers

A Locational Situation Each of the several elements that influence whether a place is suitable for colonization can be categorized into one of four commonly recognized groups: climatic, economic, physical, and traditional.

What is topography?

The study of topography focuses on the shapes and characteristics of land surfaces. An area's topography may refer to the actual land shapes and features or a description of them.

Relief elements including soil type, mountains, plains, and plateaus are included in topography.

Soil type: Depending on the soil type, settling will be impacted

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