Can you solve this inequality to me?

Can you solve this inequality to me?

Postby Gilmar » Thu May 08, 2008 12:08 pm

Solve in R:

x4- 10x2 + 9 ≤ 0
Gilmar
 
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Re: Can you solve this inequality to me?

Postby dduclam » Sat May 10, 2008 10:29 am

Gilmar wrote:Solve in R:

x<sup>4</sup> - 10x<sup>2</sup> + 9 ≤ 0


<=> [tex]x^4-x^2-9x^2+9\le0[/tex]

<=> [tex]x^2(x^2-1)-9(x^2-1) \le0[/tex]

<=> [tex](x^2-9)(x^2-1)\le0[/tex]

<=>[tex]1\le x^2\le9[/tex]

<=> [tex]1\le x\le3[/tex] or [tex]-3\le x\le -1[/tex] :)

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