{"id":"site-2669/zad/3182","paper_id":"site-2669","number":"3182","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Wykaż, że prawdziwa jest nierówność pierwiastek z {2^{50}+1} + pierwiastek z {2^{50}-1} < 2^{26}.","answer":null,"answer_text":null,"solution":null,"image":"img/site/2669/zad-3182.svg","solution_image":"img/site/2669/rozw-3182.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań","text_html":"<p>Wykaż, że prawdziwa jest nierówność pierwiastek z {2^{50}+1} + pierwiastek z {2^{50}-1} &lt; 2^{26}.</p>","solutions":[{"source":"site","label":"matematykaszkolna.pl","kind":"image","image":"/img/site/2669/rozw-3182.svg"}]}