chung minh bat dang thuc 2(a^4+1) + (b^2 +1)^2>=2(ab+1)^2
Cho tam giac ABC bat ky , chung minh bat dang thuc 1/(BC+CA)^2 + 1/(BC+AB)^2 >= 1/(BC^2+CA.AB)
voi a,b,c,d la cac so duong thoa man a*b = c*d = 1. Chung minh bat dang thuc ( a+b )*( c+d ) + 4 >= 2( a+b+c+d )
voi a,b,c,d, la cac so duong thoa man a*b = c*d =1 chung minh bat dang thuc : ( a+b )*( c+d ) +4 >= 2*( a+b+c+d ) cac ban oi giup minh voi OK
chung minh neu a,b,c=(0;1) thi co it nhat mot trong cac bat dang thuc sau day dung:a(1-b) <1/4 ; b(1-c)<1/4 ; c(1-a)<1/4
chung minh neu a,b,c=(0;1) thi co it nhat mot trong cac bat dang thuc sau day dung:a(1-b) <1/4 ; b(1-c)<1/4 ; c(1-a)<1/4
giup minh cau nay voi : cho tam giac ABC vuong tai A voi cac duong phan giac trong BM va CN .chung minh bat dang thuc (MC+MA)(NB+NA)/MA.NA >= 3+2√2
1phầnx +1 phầny >=4phần x+y. Dau trong bat dang thuc xay ra khi nao
tim stn n nho nhat de co bat dang thuc (a^2+b^2+c^2)^2=n(a^4+b^4+c^4)