tim a/b toi gian thoa man a+b/2b=\(4\frac{a}{b}\)
DT
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gia tri cua a-2b thoa man 9/2-1/2.4/9=a/b
<a/b la phan so toi gian,b>o>
Cho 2 so thuc duong a,b thoa man a+b<=1.Tim GTNN cua
\(A=\frac{1}{a^3+b^3}+\frac{1}{a^2b}+\frac{1}{ab^2}\)
Cho 2 so duong a,b thoa man \(\frac{1}{a}+\frac{1}{b}=2\)
Tim GTLN cua bieu thuc A=\(\frac{1}{a^4+b^2+2ab^2}+\frac{1}{b^4+a^2+2a^2b}\)
tim bo so a,b,c thoa man a:b:c=2:4:5 va a+2b+c=75
Theo đề bài ra ,ta có: \(\frac{a}{2}=\frac{b}{4}=\frac{c}{5}=\frac{a+2b+c}{2+2\cdot4+5}=\frac{75}{2+8+5}=\frac{75}{15}=5\)
\(\frac{a}{2}=5=>a=5\cdot2=10\)
\(\frac{b}{8}=5=>b=5\cdot8=40\)
\(\frac{c}{5}=5=>c=5\cdot5=25\)
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cho a,b>0 thoa man a+b+c=6.Tim GTNN cua \(P=\frac{a^3}{\left(a+b\right)\left(b+2c\right)}+\frac{b^3}{\left(b+c\right)\left(c+2a\right)}+\frac{c^3}{\left(c+a\right)\left(a+2b\right)},\)
Bạn cho mình hỏi là chỉ a,b > 0 hay cả a,b,c > 0 vậy
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1)hay thay a=3b-1 vao dang thuc 5b+4a=30 va tim a,b?.Giai bang ki nang thay the.
2)tim hai so a va b thoa man a+5b=35 va a-2b=14?.GIAI BANG CACH bien doi dai so.
d)tim hai so a va b thoa man 2a-10=5b va 4a+3b=150?Giaibang cach bien doi dai so.
Cho a,b duong thoa man ab=a+b.CMR:
\(\frac{1}{a^2+2a}+\frac{1}{b^2+2b}+\sqrt{\left(1+a^2\right)\left(1+b^2\right)}\ge\frac{21}{4}\)
chi a,,b,c thoa man (a+2b)(2b+3c)(3c+a)khac 0 va
\(\frac{a^2}{a+2b}+\frac{4b^2}{2b+3c}+\frac{9c^2}{3c+a}=\frac{a^2}{2b+3c}+\frac{4b^2}{a+3c}+\frac{9c^2}{a+2b}\)
cmr;\(\frac{a}{6}=\frac{b}{3}=\frac{c}{2}\)
Cho 2 số thực a,b thỏa mãn: lal khác lbl va ab khac 0 thoa man \(\frac{a-b}{a^2+ab}+\frac{a+b}{a^2-ab}=\frac{3a-b}{a^2-b^2}\)
Tính P=\(\frac{a^3+2a^2b+2b^3}{2a^3+ab^2+2b^3}\)