{"id":"site-4077/zad/4123","paper_id":"site-4077","number":"4123","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2014,"month":null,"level":"rozszerzona","text":"Wyznacz wszystkie wartości parametru m, dla których równanie x^2+(2m-5)x+2m+3=0 ma dwa różne pierwiastki rzeczywiste x_1, x_2 takie, że (x_1+x_2)^2 >= x_1^2*x_2^2 >= x_1^2+x_2^2.","answer":null,"answer_text":null,"solution":null,"image":"img/site/4077/zad-4123.svg","solution_image":"img/site/4077/rozw-4123.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 · 2014 (rozszerzona)","subject_label":"Matematyka","category_label":"Zbiory zadań","text_html":"<p>Wyznacz wszystkie wartości parametru m, dla których równanie x^2+(2m-5)x+2m+3=0 ma dwa różne pierwiastki rzeczywiste x_1, x_2 takie, że (x_1+x_2)^2 &gt;= x_1^2*x_2^2 &gt;= x_1^2+x_2^2.</p>","solutions":[{"source":"site","label":"matematykaszkolna.pl","kind":"image","image":"/img/site/4077/rozw-4123.svg"}]}