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Cứ nói người ta ngu trong khi cứ ngồi đó,giỏi thì làm đi
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(x+2)(x2-2x+4)=\(\frac{91}{8}\)
<=>x3+23=\(\frac{91}{8}\)
<=>x3+8=\(\frac{91}{8}\)
<=>x3=\(\frac{91}{8}-8\)
<=>x3=\(\frac{27}{8}\)
<=>x3=\(\left(\frac{3}{2}\right)^3\)
=>x=\(\frac{3}{2}\)
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- x4-2x3+10x2-20x=0 =>x3(x-2)+10x(x-2)=0 =>(x-2)(x3+10x)=0 =>x(x-2)(x2+10)=0
=>x=0 hoặc x=2 hoặc x= - căn 10
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a) \(6xy+4x-9y-7=0\)
\(\Leftrightarrow2x.\left(3y+2\right)-9y-6-1=0\)
\(\Leftrightarrow2x.\left(3y+x\right)-3.\left(3y+2\right)=1\)
\(\Leftrightarrow\left(2x-3\right).\left(3y+2\right)=1\)
Mà \(x,y\in Z\Rightarrow2x-3;3y+2\in Z\)
Tự làm típ
\(A=x^3+y^3+xy\)
\(A=\left(x+y\right)\left(x^2-xy+y^2\right)+xy\)
\(A=x^2-xy+y^2+xy\)( vì \(x+y=1\))
\(A=x^2+y^2\)
Áp dụng bất đẳng thức Bunhiakovxky ta có :
\(\left(1^2+1^2\right)\left(x^2+y^2\right)\ge\left(x\cdot1+y\cdot1\right)^2=\left(x+y\right)^2=1\)
\(\Leftrightarrow2\left(x^2+y^2\right)\ge1\)
\(\Leftrightarrow x^2+y^2\ge\frac{1}{2}\)
Hay \(x^3+y^3+xy\ge\frac{1}{2}\)
Dấu "=" xảy ra \(\Leftrightarrow x=y=\frac{1}{2}\)
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\(\left(x+2\right)\left(x^2-2x+2^2\right)=x^3+2^3=1399\)
\(x^3+2^3=1399\Rightarrow x^3=1391\)vậy không có giá trị nào thỏa mãn x
(x + 2)(x2 - 2x + 4) = 1339
x3 + 8 = 1339
x3 = 1331
x3 = 113
x = 11