Các câu hỏi tương tự
cho a+b+c=1 va 1/a+1/b+1/c=0.Chung minh rang : a^2+b^2+c^2=0
cho a,b,c la 3 so khac 0 va a+b+c=0 chung minh rang 1/a^2+b^2-c^2+1/b^2+c^2-a^2+1/c^2+a^2-b^2=0
cho a khac 0 b khac 0 va a+b=1 chung minh rang \(\frac{b}{a^3-1}-\frac{a}{b^3-1}=\frac{2\left(a-b\right)}{a^2b^2+3}\)
cho a va b la 2 so tu nhien .Biet a chia cho 3 du 1 va b chia cho 3 du 2.Chung minh rang ab chia cho 3 du 2.
cho a,b,c thuoc R chung minh rang a2+b2_> 2ab (1) áp dung va chung minh bat dang thuc sau
(a2+1)(b2+1)(c2+1) _> 8abc
cho \(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=2\) va\(\frac{1}{a^2}+\frac{1}{b^2}+\frac{1}{c^2}=2.\)
Chung minh rang a+b+c=abc
Cho a/(b+c)+b/(c+a)+c/(a+b)=1. chung minh rang
a^2/(b+c)+b^2/(c+a)+c^2/(a+b)=0
Cho a b c la cac so thuc. A+b+c=1 va 1/a+1/b+1/c=0. Chung minh A mu 2+ b mu 2+c mu 2=1
a+b+c=0 va 1/a+1/b+1/c=1 chung minh a^2+b^2+c^2=1