emster128
emster128 emster128
  • 02-03-2017
  • Mathematics
contestada

Prove that for every two positive integers a and b that
\((a+b)(\frac{1}{a}+\frac{1}{b}) > or = 4\)

Respuesta :

SyntaxError
SyntaxError SyntaxError
  • 02-03-2017
[tex]\((a+b)(\frac{1}{a}+\frac{1}{b}) \ \textgreater \ or = 4\) \\ 1+a/b+b/a + 1 \geq 4 [/tex][tex]\((a+b)(\frac{1}{a}+\frac{1}{b}) \ \textgreater \ or = 4\) [/tex]

distributed 

choose 1 as your lowest positive integer

plug 1 into a and b

1 + 1 + 1 + 1[tex] \geq 4[/tex]

Answer Link

Otras preguntas

which aspect of writing helps create an authors tone
Least possible value for 584.10 in decimal form
1.Summarize why immigration is an important issue in the United States. Include how immigrants can become citizens. Immigration is one controversial tonic hut
100 POINTS PRE-CALCULUSAn airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of
Write a short imagist poem or a haiku using this photograph as your inspiration.
What is it called when to atoms combine?
A targeted cover letter is written specifically for work within the industry you prefer.
A nation has five types of coins: sinds, dalts, lorgs, harps, and plunks. 1 sind = 4 lorgs 2 plunks = 5 dalts 5 sinds = 2 harps 1 plunk = 3 harps Which coin i
I would like to know if all of my grammar I correct Albert Einstein
What is the molarity of a magnesium chloride solution with 90.5 g of MgCl2 dissolved in a solution with a total volume of 2300 mL?