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

give two specific examples of how British mistreated the indigenous peoples of Australia
write 80 as a prime factor?
how do a cell reproduce?
what is the action force and reaction force of two bumper cars collide
Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each does he have . SHow your work
Which statement describes the relationship between chromosomes, genes, and alleles? A. Alleles transfer genes to the appropriate location within a chromosome. B
Name some ways in which whales differ from fishes
Select the correctly punctuated sentence. -The men's choice of television program didn't agree with the Williams's or the childrens'. -The men's choice of telev
If you have a semi-circle with a diameter of 8.6ft, what's the semi-circles area? Use the formula [tex] \pi r^{2} [/tex]
Choose the correct answer: 1) If I want to communicate with a foreign friend, I .... rather e-mail him. (will-am-would-can) 2) It's dangerous to look at the sun