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a/ \(A=\frac{x}{2}+\frac{1}{2x}+\frac{5x}{2}\ge2\sqrt{\frac{x}{4x}}+\frac{5}{2}.1=\frac{7}{2}\)
\("="\Leftrightarrow x=1\)
b/ \(B=\frac{3\left(x+1\right)}{2}+\frac{1}{x+1}-\frac{3}{2}\ge2\sqrt{\frac{3\left(x+1\right)}{2\left(x+1\right)}}-\frac{3}{2}=\frac{-3+2\sqrt{6}}{2}\)
\("="\Leftrightarrow\left(x+1\right)^2=\frac{2}{3}\Rightarrow x=...\)
c/ \(C=\frac{2x-1}{6}+\frac{5}{2x-1}+\frac{1}{6}\ge2\sqrt{\frac{5\left(2x-1\right)}{6\left(2x-1\right)}}+\frac{1}{6}=\frac{1+2\sqrt{30}}{6}\)
\("="\Leftrightarrow\left(2x-1\right)^2=30\Rightarrow x=...\)
d/ \(D=x+\frac{4}{x}+4\ge2\sqrt{\frac{4x}{x}}+4=8\)
\("="\Leftrightarrow x^2=4\Rightarrow x=...\)
e/ \(E=\left(x+3\right)\left(5-x\right)\le\frac{1}{4}\left(x+3+5-x\right)^2=16\)
\("="\Leftrightarrow x+3=5-x\Rightarrow x=...\)
f/ \(F=\frac{1}{2}\left(2x+6\right)\left(5-2x\right)\le\frac{1}{8}\left(2x+6+5-2x\right)^2=\frac{121}{8}\)
\("="\Leftrightarrow2x+6=5-2x\Leftrightarrow x=...\)
![](https://rs.olm.vn/images/avt/0.png?1311)
A= [(2√x√x+3)+√x√x+3+3(√xx−9)]:(2√x−2√x−3−11)[(2xx+3)+xx+3+3(xx−9)]:(2x−2x−3−11)với x>= 0 , x #9
![](https://rs.olm.vn/images/avt/0.png?1311)
xem gi
co ban nho cua toi
may bi loi unikey thong cam nha moi nguoi
hihi
a) \(\sqrt[3]{x}< 2\Leftrightarrow\left(\sqrt[3]{x}\right)^3< 2^3\Leftrightarrow x< 8\)
b) \(\sqrt[3]{2x-1}>-3\Leftrightarrow\left(\sqrt[3]{2x-1}\right)^3>\left(-3\right)^3\Leftrightarrow2x-1>-27\Leftrightarrow2x>-26\Leftrightarrow x>-13\)
c) \(\sqrt[3]{2-3x}\le1\Leftrightarrow\left(\sqrt[3]{2-3x}\right)^3\le1\Leftrightarrow2-3x\le1\Leftrightarrow3x\ge1\Leftrightarrow x\ge\frac{1}{3}\)
d) \(\sqrt[3]{3-4x}\ge5\Leftrightarrow\left(\sqrt[3]{3-4x}\right)^3\ge5^3\Leftrightarrow3-4x\ge125\Leftrightarrow4x\le-122\Leftrightarrow x\le-\frac{61}{2}\)
Bạn ghi lại đề đi bạn
uh