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

calculate the discriminant then state the number and type of solutions
-9x^2+6x+3 = 0
D =

Answers

Lets check

D=b²-4ac

D=6²-4(-9)(3)D=36+108D=144

As it's >0 two real and distinct zeros are present

The right is that 9x^2+6x+3=0

D is equal to 357.66

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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A sand sample consisting of minerals deposited by water is:


hydrogenous


biogenous


lithogenous

Answers

A sand sample consisting of minerals deposited by water is hydrogenous.

What is hydrogenous sand?

This are sand that are from water Bodies.

The sands form during evaporation as a result of samples that settles in Water.

This sand are abundance in sea and water bodies.

Therefore, A sand sample consisting of minerals deposited by water is hydrogenous.

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Factors Affecting Population Distribution in Ethiopia​

Answers

In Ethiopia, the population distribution is affected by the factors are the climatic conditions, altitude, and the soil of that region.

What is population distribution?

Population distribution is referred to as the particular region of a country in which the maximum number of people are residing.

The population of Ethiopia is concentrated in the regions of highlands where there is adequate rain, the richness of soil for cultivation, and the temperature is moderate, that is, not too cool or not too high. According to a 1990 study, about 14 % of people lived in the cool climatic zones, approx. 11% were in the hot climatic zones and the rest of the people lived in moderate zones. There is lesser agriculture in the zones of cool climates due to less rain while more agriculture activity could be seen in moderate climates due to abundant rains.

Therefore, the factors affecting the population of Ethiopia are described above.

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Which religions were founded in Europe and Southwest Asia?
Check all that apply.
M A. Islam
0 B. Christianity
C. Buddhism
M
D. Confucianism

Answers

Answer:

Christianity, Judaism and Islam

Explanation:

If you were to compare the consistency of the mantle to a type of food, what would best describe it?

Answers

The consistency of the mantle can be compared to the consistency of caramel.

What is mantle?

The majority of the interior of the Earth is made up of the mantle. The Earth's thin exterior layer, the crust, and its deep, extremely hot core are separated by the mantle. About 84 percent of Earth's entire volume, or 2,900 kilometers (1,802 miles), is made up of the mantle.

It makes up around 84 percent of the volume of the Earth and has a thickness of 2,900 kilometers (1,800 mi). Although it is mostly solid, it acts like a viscous fluid over geologic time scales, sometimes being compared to caramel in consistency.

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is drought the cause for soil degradation?​

Answers

Soil degradation results from crop production being slowed down by extreme drought. So yes drought can be considered as cause for soil degradation.

What is drought?

When the rainfall is not occurred in required amount and the shortage of water has been appeared where individual find difficult to make availability of water is refers as drought.

When soil fertility, biodiversity, and other factors are lost or degraded, it reduces the ability of the land to produce food. Agriculture, industry, and commerce all contribute to soil degradation. This will lead to reduction in crop production.

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Which of the following was passed in
1935 and started the process that
would later be known as The Holocaust
(where "undesirables" would be
removed from society)?
A. Weimar Constitution
B. Nuremberg Laws
C. Beer Hall Putsch

Answers

The Nuremberg Laws were enacted in the year 1935 by the ruling Nazi Party as a racist regulation.

What is the significance of Nuremberg Laws?

The main purpose of the Nuremberg Laws was the removal of 'undesirables' like Jews and other ethnicity people from Germany. These laws were enacted by the Nazi Party under the leadership of Adolf Hitler.

Hence, option B states about the Nuremberg Laws.

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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.

The same, used for geometric figures

Answers

Explanation:

in this lesson, we'll look at geometric shapes. When we say 'geometric shape,' we're talking about the form or shape of a particular object. For example, a ball is round in shape. Most often, we talk about two-dimensional shapes, such as the ones you draw on paper, like circles, triangles, and rectangles. The very first house I drew as a kid consisted of a square for the building of the house, a triangle for the roof, a rectangle for the door, and small squares for the windows. You might have drawn something similar. All we did was put together different geometric shapes to create a picture.

Which of the following creates weather
forecasts by processing data from a
variety of weather stations?
A. atmospheric pressure
B. forecasting computer
C. wind speed
D. precipitation

Answers

Answer:

I think it's B. forecasting computer

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

1. Why geography does not have unique definition and consensus among Geographers? Write the reason in accordance with the thoughts of geography.

Answers

Geography is such a broad and all-encompassing subject, there is no one definition that applies to it.

What is Geography?

The science of geography examines the Earth and the natural and human forces that have shaped it.

The study of places and the interactions between people and their environs is known as geography. Geographers study the Earth's surface's physical characteristics, as well as the distribution of human communities there.

Hence, the significance of the Geography is aforementioned.

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How will attempts to prevent flooding be different for developing countries compared to developed countries?

A) Limited financial resources will cause developing countries like India & Indonesia to be unable to stop flooding by building mega engineering projects like in England

B) Developed countries like England, and USA will help those poorer countries to build their own mega sea barriers against rising sea levels

C) Developing countries will simply ignore the warning of the climate scientists and do absolutely nothing about it.

(This is in reference to National Geographic's documentary "Six degrees could change the world")

Answers

Developed countries like England, and USA will help those poorer countries to build their own mega sea barriers against rising sea levels.

For protecting the city from over flodding , there has to be a proper development of the country that has to be made to protect the country from flooding , also the country has to make Mega walls and have their own sea barriers against the sea levels. A sea barrier (also known as a storm surge barrier) is a structure at the mouth of a river or inlet that can be closed against coastal storm surge or high tides to help prevent flooding. Sea barriers help protect coastal cities from flooding caused by storm surge or high tide.

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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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Which of the following statements is
true?
A. Lightning flashes, then you hear thunder.
B. You hear thunder, then you see lightning.
C. You hear thunder and see lightning at the same time.
D. It depends on the storm.

Answers

Answer:

A

Explanation:

you see lightning first

A:Lightning flashes, then you hear thunder.

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

Match the climate term in column 1 to the characteristic in column 2?

Answers

Human activity refers to Produces greenhouse gasses. Greenhouse gasses refer to cause the atmosphere to trap more heat. Sun's output refers to Can vary. Ice age refers to Peaked 20,000 years ago.

What is climate?

The long-term weather patterns in a specific region are referred to as the “climate.” Day to day, month to month, and year to year, the climate can shift.

The most important greenhouse gas released by human activity is carbon dioxide (CO2). Burning fossil fuels for transportation, heating, and electricity releases greenhouse gases.

The Earth warms up when the sun's output is higher. The Earth is colder when the sun's output is lower. Around 20,000 years ago, when the most recent ice age peaked, global temperatures were probably around 10 degrees cooler than they are now.

Hence, the significance of the climate is aforementioned.

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Challenger Deep is a feature of_____ Ocean.​

Answers

Answer:

Pacific

Explanation:

Answer:

Challenger Deep is a feature of the Pacific Ocean.

How difficult is it to get to Challenger Deep?

With a depth of 10,902 to 10,929 m by direct measurement from deep-diving submersibles, remotely controlled vehicles, and benthic landers and slightly more by sonar bathymetry, the Challenger Deep is the deepest known point in the Earth's seafloor hydrosphere. The H.M.S. Challenger, a Royal Navy vessel that traveled around the world in the 19th century to investigate the waters, gave rise to the name Challenger Deep.  On March 23, 1875, the Challenger crew performed an action they would go on to repeat more than 500 times over the course of their three-and-a-half-year expedition: they dropped a hemp rope weighed down with iron sinkers into the water to gauge the depth of the ocean floor. This was done 140 miles southwest of Guam, at the far western edge of the Pacific Ocean. 4,475 fathoms are the result (8,184 m). The sounding wasn't a record, but it was the first one conducted near the Mariana Trench, which is now known to be the deepest place on Earth. Even if it is so deep that it could easily contain Mount Everest in its entirety, we won't be able to view the mountain's summit above the water. Although the phrase "Challenger Deep" is frequently used to refer to the deepest point on Earth, neither a sounding nor a specific area of the ocean bottom can be considered Challenger Deep. This is "deep." I will return to this shortly. Eight tons per square inch of crushing water pressure, or around 1,000 times the average air pressure at sea level, is present at the bottom of the trench. As depth deepens, pressure rises. It has been more than 50 years since the first and only time that humans entered the Challenger Deep. Imagine yourself taking on such intense pressure that, should your submersible vehicle malfunction, your body would be squeezed before you would drown. You won't find a single vertebra there as a result of this. For us as humans, it's a very other universe. There is also total darkness, which will scare the living daylights out of you. Therefore, it is true to say that we have learned considerably more about space than we have about our seas.

Cheers,

ROR

what is population data?​

Answers

Answer:

taking data from a population rather than a specific group of people to gather information from

(random and most representative on a large scale of people)

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

Question A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer. If necessary, refer to the list of geometry formulas. 2 cm □ 6 cm 8 cm 10 cm 0 00 cm cm² Centimeters cm³ ? Question A right triangle is removed from a rectangle to create the shaded region shown below . Find the area of the shaded region?​

Answers

The area of the shaded region is given as: 56cm². See the explanation below.

What is the solution to the above?

Area of the Rectangle size  10 cm x 6 cm  = 60cm

Triangle Size   10 - 8 = 2 cm and 6 - 2 = 4cm

The Area of a Right Angled Triangle is given as:

A = 1/2 (B*H)

= 1/2 * 2 * 4

= 4cm

Hence, Area of Shaded region =  60 - 4cm²

= 56cm²

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Choose the option that best matches the description given.

Providing assistance to people in need through programs is known as services.

Answers

The option that best matches the given description is Rehab. Thus 2nd option is correct.

What is Rehab Services?

Rehab services which is completely known as Rehabilitation services is the support provided to the people who require special healthcare services.

The complete question is attached below.

These program includes therapies to  a person's lost or diminished physical, mental, and cognitive abilities as a result of disease, an injury, or medical treatment can be helped by specialized healthcare therapies.

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what are the role of federal government?​

Answers

ANSWER✍️

The Federal Government is also involved, mainly through funding, in many things largely carried out by the States, such as health, education, environmental issues, industrial relations, etc.

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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explain four factors responsible for the shape of the earth ​

Answers

Answer:
Their is only one which is gravity

Explanation:

State ONE socio-economic factor that negatively influences sugar cane farming. (1 x 2) the economic​

Answers

Answer:

1<2

Explanation:

State ONE socio-economic factor that negatively influences sugar cane farming.

distributors are formed when a river reaches near its mouth

Answers

Answer:

This statement is very true.

what is geology ? give me answer​

Answers

Answer:

The science that deals with the earth's physical structure and substance, its history, and the processes that act on it.

Answer:

geology is the study of mineral resources e.g rocks within and below the earth's crust.

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