{"id":"site-4915/zad/5344","paper_id":"site-4915","number":"5344","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"rozszerzona","text":"Liczby dodatnie a i b spełniają równość a^2+2a=4b^2+4b. Wykaż, że a=2b.","answer":null,"answer_text":null,"solution":null,"image":"img/site/4915/zad-5344.svg","solution_image":"img/site/4915/rozw-5344.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 (rozszerzona)","subject_label":"Matematyka","category_label":"Zbiory zadań","text_html":"<p>Liczby dodatnie a i b spełniają równość a^2+2a=4b^2+4b. Wykaż, że a=2b.</p>","solutions":[{"source":"site","label":"matematykaszkolna.pl","kind":"image","image":"/img/site/4915/rozw-5344.svg"}]}