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cho a,b,c la cac so thuc thoa man a+2b-3b=0 va bc +2ac-3ab=o.chung minh a=b=c
cho cac so thuc a,b,c la cac so thuc thoa man a+1/b=b+1/c=c+1/a CMR a=b=c
cho cac so thuc thoa man a+b+c=6 va 0 =<a,b,c=<4
Tim Max P=a2+b2+c2+ab+ac+bc
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
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 )
cho a,b,c la cac so thuc duoong thoa man a+b+c=0. CMR
\(\frac{a^2}{b}+\frac{b^2}{c}+\frac{c^2}{a}\ge3\left(a^2+b^2+c^2\right)\)
Cho a,b la cac so thuc duong thoa man a+b >=4 .
Tim GTNN cua P = \(\frac{2a^2+9}{a}+\frac{3b^2+2}{b}\)
1. Cho a,b,c,d la cac so nguyen thoa man \(a^2=b^2+c^2+d^2\)
chung minh rang a.b.c.d + 2015 viet duoc duoi dang hieu cua 2 so chinh phuong.
2. Cho a,b la cac so duong thoa man dieu kien a+b=1. tim gia tri nho nhat cua bieu thuc
\(P=\frac{2+a}{\sqrt{2-a}}+\frac{2+b}{\sqrt{2-b}}\)
cho a,b,c la cac so nguyen thoa man a+b+c+ab+bc+ca=6. chung minh rang a^2+b^2+c^2 khong nho hon 3
