Coughing and nosebleeds are not necessarily leukemia; typical symptoms of leukemia are anemia, bleeding, fever, and bone pain. Leukemia is mainly due to the infiltration of leukemia cells in the bone marrow, which can lead to restriction of the growth of normal blood cells. Normal blood cells are white blood cells, red blood cells, and platelets. Leukopenia results in immune deficiency, which can lead to infections and fever. A decrease in red blood cells can lead to anemia, which can manifest as dizziness, fatigue, loss of appetite, panic, and shortness of breath. Thrombocytopenia can lead to bleeding, such as bleeding from the skin, ecchymosis of the skin, purpura, bleeding gums, bleeding from the nose, and so on. So, the four most common symptoms of leukemia are fever, anemia, bleeding, and bone pain, which is due to infiltration of bone marrow by leukemia cells. So, just a general fever, cough or nosebleed can be an upper respiratory tract infection, or a malformation of capillaries in the nose, etc. Only when the symptoms are more serious and accompanied by other symptoms as well as a decrease in blood counts should the possibility of leukemia be considered, and prompt hospitalization is required.