MathMaster logo

MathMaster

  1. Home
  2. general
  3. prove that if n is a perfect square then n 2 is not perfect square
Question

Prove that if n is a perfect square,then n+2 is not perfect square

289

likes
1443 views

Answer to a math question Prove that if n is a perfect square,then n+2 is not perfect square

Expert avatar
Jett
4.7
97 Answers
Suppose n=a^2 and n+2=\:b^2 with a and b integers. Then b^2-a^2=2 which causes us to believe that bβˆ’a=1 and b+a=2 or even worse, b=1.5 β€” Contradiction

Frequently asked questions (FAQs)
What is the median of a set containing 9, 13, 15, 17, 19, and 21?
+
What is the equation of the line passing through (-3, 5) and (2, -1)?
+
Math question: Graph the inequality y < -3x + 5 on a coordinate plane. (
+
New questions in Mathematics
If you have a bag with 18 white balls and 2 black balls. What is the probability of drawing a white ball? And extracting a black one?
Evaluate limxβ†’βˆžtanβˆ’1(x) using that y=tanβˆ’1(x) exactly when x=tan(y) . (Hint: Both tan and tanβˆ’1 are continuous!)
What will be the density of a fluid whose volume is 130 cubic meters contains 16 technical units of mass? If required Consider g=10 m/s2
7273736363-8
The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?
A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
A triangular window has a base of 6 ft. and a height of 7 ft. What is its area?
89, Γ· 10
Equine infectious anemia (EIA) is considered the main infectious disease in Brazilian equine farming, for which there is no effective vaccine or treatment. It is caused by a retrovirus of the genus Lentivirus, which affects horses, donkeys and mules and is transmitted in nature mainly by hematophagous insects of the genus Tabanidae. Researchers analyzed the records of 9,439 equids from Acre, submitted to the agar gel immunodiffusion test (AGID) for equine infectious anemia (EIA), between 1986 and 1996. Of these, 6199 tested positive for equine infectious anemia (EIA) . Knowing that the age of AIE-positive horses follows a Normal distribution with a mean of 5 years and a standard deviation of 1.5 years, determine the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years. ATTENTION: Provide the answer to exactly FOUR decimal places.
The market for economics textbooks is represented by the following supply and demand equations: P = 5 + 2Qs P = 20 - Qd Where P is the price in Β£s and Qs and Qd are the quantities supplied and demanded in thousands. What is the equilibrium price?
Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A Γ— B| = |C Γ— D|
Find the center coordinates and radius of a circle for an equation written as: 3x2 + 3y2 - 6y = β€”12Γ— + 24
Given the word WEIRD, determine a four-letter offspring that can be formed with the letters of the word written above
OiπŸ‘‹πŸ» Toque em "Criar Nova Tarefa" para enviar seu problema de matemΓ‘tica. Um dos nossos especialistas comeΓ§arΓ‘ a trabalhar nisso imediatamente!
Farm Grown, Inc., produces cases of perishable food products. Each case contains an assortment of vegetables and other farm products. Each case costs $5 and sells for $15. If there are any not sold by the end of the day, they are sold to a large food processing company for $3 a case. The probability that daily demand will be 100 cases is 0.30, the probability that daily demand will be 200 cases is 0.40, and the probability that daily demand will be 300 cases is 0.30. Farm Grown has a policy of always satisfying customer demands. If its own supply of cases is less than the demand, it buys the necessary vegetables from a competitor. The estimated cost of doing this is $16 per case. (a) Draw a decision table for this problem (b) What do you recommend?
there are 500,000 bacteria at the end of a pin point. 1000 bacteria can make a person sick. then bacteria at the tip of a pin point can make 500 people sick. Also, many people do not know that bacteria can (reproduce). Let's say there are 5 bacteria and we leave it for 15 minutes. bacteria will multiply to 10. if left for up to 30 minutes, 20 bacteria will form. if left up to 45 minutes. bacteria will multiply up to 40. every 15 minutes the bacteria will double 2. if you start with five bacteria that reproduce every 15 minutes, how manu bacteria would you have after 12 hours ?
How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
I have a complex function I would like to integrate over. I can use two approaches and they should give the same solution. If I want to find the contour integral βˆ«π›Ύπ‘§Β―π‘‘π‘§ for where 𝛾 is the circle |π‘§βˆ’π‘–|=3 oriented counterclockwise I get the following: ∫2πœ‹0𝑖+3π‘’π‘–π‘‘βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―βŽ―π‘‘(𝑖+3𝑒𝑖𝑑)=∫2πœ‹03𝑖(βˆ’π‘–+3π‘’βˆ’π‘–π‘‘)𝑒𝑖𝑑𝑑𝑑=18πœ‹π‘– If I directly apply the Residue Theorem, I would get βˆ«π›Ύπ‘§Β―π‘‘π‘§=2πœ‹π‘–Res(𝑓,𝑧=0)=2πœ‹π‘–

You might be interested in