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

why do you think it is important to do what is right even when no one is looking

12.93 is what percent of 172.40?

Compute the greatest root of x^4-x^3-19x^2+4x+60=0. Express your answer in simplified radical form.

explain how households and firms interact in the factor market and in the product market.

What is the difference in hight between 30m up a cliff and 87 m up a cliff? What is the distance between these positions

any one know all of

Help me with this please !! ASAP !!!!

The velocity on sound in air is _________m/s.

Every bill which shall have passed the House of Representatives and the Senate, shall, before it become a Law, be presented to the President of the United State

what is the umportance of the scene between walter and beneatha