tìm a,b biết ab=2(a+b)
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a) ab + a + b = 48 b) 57-ab=a+b c) 63-(a+b)=ab
ab + a.1 + b = 48 57=a+b+ab 63=ab+a-b
a(b+1)+b+1=48+1 57=a+b.1+ab 63=ab+a.1-b
a(b+1)+(b+1).1=49 57=a+b(a+1) 63=a(b+1)-b
(a+1)(b+1)=49 57+1=a+1+b(a+1) 63-1=a(b+1)-(b+1).1
Ta có bảng : 58=(a+1).1+b(a+1) 62=(a-1)(b+1)
a+1 1 7 49 58=(a+1)(b+1) Ta có bảng :
b+1 49 7 1 Ta có bảng : a-1 1 3 7 9 21 63
a 0 6 48 a+1 1 2 29 58 b+1 63 21 9 7 3 1
b 48 6 0 b+1 58 29 2 1 a 2 4 8 10 22 64
a 0 1 28 57 b 62 20 8 6 2 0
b 57 28 1 0
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\(b-a=2\)
\(b=a+2\)
\(ab-a=62\)
\(10a+b-a=62\)
\(9a+b=62\)
\(9a+a+2=62\)
\(10a+2=62\)
\(10a=62-2\)
\(10a=60\)
\(a=60:10\)
\(a=6\)
\(b-a=2\)
\(b=6+2\)
\(b=8\)
Vây b = 8 ; a = 6
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abc:(a+b+c)=100
aba=(a+b+c)x100
abc=a x100+bx100+cx100
ax100+bx10+c=ax100+bx100+cx100
( đề có vẻ sai )
abc:(a+b+c)=100
aba=(a+b+c)x100
abc=a x100+bx100+cx100
ax100+bx10+c=ax100+bx100+cx100
( đề có vẻ sai ) Nếu bn cảm thấy đúng thì k cho mình nhé!Học Tốt
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\(P\ge\dfrac{\left(a+b\right)^2}{2ab}+\dfrac{\sqrt{ab}}{a+b}=\dfrac{\left(a+b\right)^2}{16ab}+\dfrac{\sqrt{ab}}{2\left(a+b\right)}+\dfrac{\sqrt{ab}}{2\left(a+b\right)}+\dfrac{7}{16}.\dfrac{\left(a+b\right)^2}{ab}\)
\(P\ge3\sqrt[3]{\dfrac{\left(a+b\right)^2ab}{64\left(a+b\right)^2.ab}}+\dfrac{7}{16}.\dfrac{4ab}{ab}=\dfrac{5}{2}\)
\(P_{min}=\dfrac{5}{2}\) khi \(a=b\)
![](https://rs.olm.vn/images/avt/0.png?1311)
b: =>a=5-b
\(\Leftrightarrow\left(5-b\right)^2+b^2=13\)
\(\Leftrightarrow2b^2-10b+25-13=0\)
\(\Leftrightarrow\left(b-2\right)\left(b-3\right)=0\)
hay \(b\in\left\{2;3\right\}\)
\(\Leftrightarrow a\in\left\{3;2\right\}\)
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