Solve by completing the square 4x 2 3x 5 0


Asked by wiki @ in Mathematics viewed by 162 People


Solve by completing the square: x2+4x-5=0

Answered by wiki @



Answer:

The solutions are {-5, 1}

Step-by-step explanation:

Next time, please use the symbol " ^ " to denote exponentiation:

x^2+4x-5=0

Start by identifying the coefficient of the x term (it is 4 here).  Divide this by 2, resulting in 2.  Square this result (square 2), obtaining 4.

Now add this 4 after the 4x term, and then subtract this 4:

x^2+4x  +4  - 4  -5=0

Rewrite x^2+4x + 4 as (x + 2)²:

(x + 2)² - 9 = 0

Add 9 to both sides, to isolate (x + 2):

(x + 2)²  = 9

Take the square root of both sides:

x + 2 = ±3

Solve for x:  x = -2 + 3, or 1

                    x = -2 - 3, or -5

The solutions are {-5, 1}


Do you know the better answer?

Similar Questions

Who oversaw the preparation of the pequod for its voyage

Asked by wiki @ in English viewed by 24 persons

Who oversaw the preparation of the Pequod for its voyage?

Oxygen and carbon dioxide pass through the plasma membrane by

Asked by wiki @ in Biology viewed by 193 persons

Oxygen and carbon dioxide pass through the plasma membrane by _____. passive diffusion facilitated diffusion active transport

A piston cylinder device contains 0.85 kg of refrigerant 134a

Asked by wiki @ in Physics viewed by 151 persons

A piston–cylinder device contains 0.85 kg of refrigerant134a at –10°C. The piston that is free to move has a mass of 12 kg and a diameter of 25 cm. The …

Vocabulary workshop level c review units 1 3 classical roots

Asked by wiki @ in English viewed by 188 persons

sadlier vocabulary workshop level c unit 1-3 word study classical roots. Would love if you guys knew the answers :)

Who is miss caroline fisher in to kill a mockingbird

Asked by wiki @ in Social Studies viewed by 185 persons

Describe scout's teacher miss caroline what is irrational about her teaching methods

What are three types of muscles in the human body

Asked by wiki @ in Health viewed by 158 persons

List the three types of muscles that are found in the human body Lo 2

How does the skeletal system work with the circulatory system

Asked by wiki @ in Biology viewed by 152 persons

1. In which way does the circulatory system rely on the skeletal system? (1 point) O Glucose is secreted by compact bone as an energy source for blood.Spongy bone …

How to find length of right triangle with only angles

Asked by wiki @ in Mathematics viewed by 483 persons

How to find the length of a triangle with only one side non right triangle?

The main purpose of the georgia state constitution is to

Asked by wiki @ in Social Studies viewed by 251 persons

The MAIN purpose of the Georgia State Constitution is to A) determine how local governments will be managed. B) give a framework for the laws and government of Georgia. C) …

Most of the oil that pollutes the ocean comes from

Asked by wiki @ in Biology viewed by 120 persons

Most of the oil that pollutes the oceans is caused by a. point-source pollution. b. oil spills. C. jet skis. d. nonpoint-source pollution Please select the best answer from the …

If congress increased the tax rate on interest income investment

Asked by wiki @ in Business viewed by 366 persons

If Congress increased the tax rate on interest income, investment a. and saving would increase. b. would increase and saving would decrease. c. would decrease and saving would increase. d. …

What does dna look like at the end of interphase

Asked by wiki @ in Biology viewed by 165 persons

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!! Explain what DNA looks like during interphase.

How far is the closest star to earth in miles

Asked by wiki @ in Mathematics viewed by 77 persons

Required 1. The distance in kilometers to Proxima Centauri, the closest star to the Earth, is 39,900,000,000,000. Write this in scientific notation.

3 4 of 36

Asked by wiki @ in Mathematics viewed by 104 persons

How do I find 3/4 of 36?

Classify each action as belonging to genetics genomics or both

Asked by wiki @ in Biology viewed by 17 persons

Classify each action as belonging to genetics, genomics, or both. Genetics Genomics Both. a. study individual gene b. study interactions between many genes c. study DNA d. sequence genome of …

What are islamic portable arts describe their importance and attributes

Asked by wiki @ in Arts viewed by 192 persons

What are Islamic portable arts? Describe their importance and attributes.

Which bone is in direct contact with the first metatarsal

Asked by wiki @ in Physics viewed by 107 persons

Which bone is in direct contact with the first metatarsal?

Determine the final state and temperature of 100g of water

Asked by wiki @ in Physics viewed by 232 persons

Determine the final state and temperature of 100 g of water originally at 25.0°c after 50.0 kj of heat have been added to it.

What type of sentence is used to give a command

Asked by wiki @ in English viewed by 267 persons

what type of sentence is used to give a command? a. exclamatory b. interrogative c. declarative d. imperative

What is the greatest common factor of 6 and 24

Asked by wiki @ in Mathematics viewed by 138 persons

What is the greatest common factor of 24 and 6?

Ch3oh molecular geometry

Asked by wiki @ in Chemistry viewed by 136 persons

Determine the molecular geometry of ch3oh (skeletal structure h3coh). indicate the geometry about oxygen atom.

The party emphasized the role of ordinary or common citizens

Asked by wiki @ in History viewed by 76 persons

The A) democratic B) populist C) Rebublican Party emphasized the role of ordinary or common citizens.

How many tablespoons of butter are in 1 3 cup

Asked by wiki @ in Mathematics viewed by 199 persons

A recipe calls for 3 cups of flour and 2 tablespoons of butter. How many tablespoons of butter would be needed if the amount of flour was increased to 12 …

Where are the spore containing sori of a fern found

Asked by wiki @ in Biology viewed by 143 persons

Where are the spore-containing sori of a fern found?

The light with longest wavelength in the visible spectrum is

Asked by wiki @ in Physics viewed by 231 persons

The longest wavelength within the visible spectrum is _______ light. A. blue B. orange C. red D. violet

The goal in networking with other business owners is to

Asked by wiki @ in Business viewed by 100 persons

The goal in networking with other business owners is to a. find out what the competition is doing. b. try to see how people from different fields can help you. …

Which nutrients are needed in the greatest amounts during pregnancy

Asked by wiki @ in Health viewed by 100 persons

Activity During pregnancy, many physiological changes occur for both the mother and the fetus. It is important for the mother to eat foods that provide all of the nutrients required …

Ho2 lewis structure

Asked by wiki @ in Chemistry viewed by 47 persons

Draw the lewis structure for the polyatomic hydroperoxyl ho2- anion. be sure to include all resonance structures that satisfy the octet rule. c

Write the equation of the graph after the indicated transformation

Asked by wiki @ in Mathematics viewed by 101 persons

Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 4 and translated up 2 units.

What happens when chemical bonds break and new bonds form

Asked by wiki @ in Chemistry viewed by 204 persons

What happens when chemical bonds break and new bonds form

Most viewed questions in Mathematics


Gina wilson all things algebra 2015 answer key unit 11

Asked by wiki @ in Mathematics viewed by 4914 persons


Unit 11 volume and surface area homework 3 answer key

Asked by wiki @ in Mathematics viewed by 4304 persons


3.2 puzzle time what is roz savage famous for answers

Asked by wiki @ in Mathematics viewed by 3366 persons



An artist sells a painting for 20.50 but uses 5.75

Asked by wiki @ in Mathematics viewed by 2980 persons


Gina wilson all things algebra 2016 answer key unit 11

Asked by wiki @ in Mathematics viewed by 2734 persons


Geometry unit 11 volume and surface area quiz 11 1

Asked by wiki @ in Mathematics viewed by 2691 persons



Unit 4 congruent triangles homework 1 classifying triangles gina wilson

Asked by wiki @ in Mathematics viewed by 2485 persons


Cryptic quiz what is the opposite of a professional eater

Asked by wiki @ in Mathematics viewed by 2329 persons


Algebra 1 8.2 worksheet characteristics of quadratic functions answer key

Asked by wiki @ in Mathematics viewed by 2065 persons



Unit 1 test study guide geometry basics answer key

Asked by wiki @ in Mathematics viewed by 2004 persons


The price of salmon at a fish market is 5.40

Asked by wiki @ in Mathematics viewed by 1962 persons


What did captain hook say in the bakery worksheet answers

Asked by wiki @ in Mathematics viewed by 1943 persons



Gina wilson all things algebra 2015 unit 11 answer key

Asked by wiki @ in Mathematics viewed by 1716 persons


Why did the picture go to jail puzzle time answers

Asked by wiki @ in Mathematics viewed by 1702 persons


Trigonometry maze answer key

Asked by wiki @ in Mathematics viewed by 1677 persons