pr3tz81scut2 pr3tz81scut2

03-10-2019
Mathematics

contestada

Prove the inequalities. c+ 1/c ≥2 for c>0

Respuesta :

LammettHash LammettHash

03-10-2019

[tex]c+\dfrac1c=\dfrac{c^2+1}c=\dfrac{c^2-2c+1}c+2=\dfrac{(c-1)^2}c+2[/tex]

We have [tex](c-1)^2=0[/tex] when [tex]c=1[/tex], and for all other values of [tex]c[/tex] we have [tex](c-1)^2>0[/tex]. So

[tex]c+\dfrac1c=\dfrac{(c-1)^2}c+2\ge2[/tex]

Answer Link

Otras preguntas

If a salad dressing recipe serves 4 people and requires ¼ cup of oil, how much oil do you need to serve 8 people

this mountain region runs through northern iran and turkmenistan

which battle stopped the schlieffen plan

Answer the question below. Use the rubric in the materials for help if needed. Explain the president's role as legislative leader of the United States of Americ

For each of the following please find the measure of the side labeled X. Please make sure you round the answer to 1 decimal place (Example 4.3 or 3.0) 65° X 26

What’s the answer for this one

]tttttttttttttttttttttttttttttttttttttt

Which is the correct thesis of your brain on movies

Marcus invested $300 at a rate of 3% compounded monthly. How much as in his account after 5 years?

Write the following in standard form: 4x3-2x4 8 x 10 x 2-4