nicolasq
nicolasq nicolasq
  • 25-06-2016
  • Mathematics
contestada

Find the set the solves
[tex]x + \frac{2}{x} \geq 3[/tex]

Respuesta :

caylus
caylus caylus
  • 25-06-2016
Hello,
To exist x≠0

if x>0 then
x+2/x>=3==>x²+2>=3x
==>x²-3x+2>=0
==>(x-2)(x-1)>=0 positive out of the roots
==>  (x<=1 or x>=2) and x>0
==>(0<x<=1) or (x>=2)
else
x<0
x+2/x>=3==>x²+2<=3x
==>x²-3x+2<=0 negative betheen the roots
==>(1<=x<=2) and x<0 : no solution
end if

Answer Link

Otras preguntas

help with this problem
Quick ez 10 points help pls
what is the value of n 131 160? a.69 b.29 c.20 d.49
What is one difference between Austria and Switzerland? A. Austria is landlocked. B. Austria has more minerals resources C. Austria has a strong tourism industr
A rotating sprinkler waters a circular region of a lawn with a diameter of 50 feet. What is the area of the lawn being watered? Use 3.14 for Pi. Enter your ex
What is the theme of chapter 3 of the house of the scorpion
Beaker A contains 100 mL of 1.5 Mammonia. Beaker B contains 100 mL of 0.50M ammonia. How does the solution in Beaker A compare to the solution in Beaker B?
If the wavelength is tripled, while the speed of the wave is held constant, what happens to the frequency? A. Decreases to 1/3 B. Decreases to 1/9 C. In
Broccoli costs $1.50 per pound at a store. How much money does 32 ounces of broccoli cost?
Based on what you read in the fact sheet, identify the type of customer the company is hoping to reach. Super-Phonic Systems wants to sell phones to customer