Odrediti parametar
![m > 0](/media/m/3/8/a/38a72e72d0dbf59ffee8888ee12a2bc8.png)
tako da jednadžba:
![x^4 - (3m + 2)x^2 + m^2 = 0](/media/m/d/1/d/d1dc9b32de56b86b400a31aef855a7c9.png)
ima četiri realne nultočke koje čine artimetički niz.
Determine the parameter
so that the equation:
![x^4 - (3m + 2)x^2 + m^2 = 0](/media/m/d/1/d/d1dc9b32de56b86b400a31aef855a7c9.png)
has four real zero points that form an arithmetic sequence.
[lang=hr]
Odrediti parametar $m > 0$ tako da jednadžba:
$$x^4 - (3m + 2)x^2 + m^2 = 0$$
ima četiri realne nultočke koje čine artimetički niz.
[/lang]
[lang=en]
Determine the parameter $m > 0$ so that the equation:
$$x^4 - (3m + 2)x^2 + m^2 = 0$$
has four real zero points that form an arithmetic sequence.
[/lang]