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1
\(M=\frac{a}{a+b}+\frac{b}{b+c}+\frac{c}{c+a}>\frac{a}{a+b+c}+\frac{b}{a+b+c}+\frac{c}{a+b+c}=1\)
\(M=\frac{a}{a+b}+\frac{b}{b+c}+\frac{c}{c+a}< \frac{a+c}{a+b+c}+\frac{b+a}{b+a+c}+\frac{c+b}{a+b+c}=2\)
=> M ko là số tự nhiên
2
\(a+b+c=0\)
\(\Rightarrow\left(a+b+c\right)^2=0\)
\(\Rightarrow a^2+b^2+c^2+2\left(ab+bc+ca\right)=0\)
Do \(a^2+b^2+c^2\ge0\Rightarrow ab+bc+ca\le0\)
3
\(\left(x+y\right)\cdot35=\left(x-y\right)\cdot2010=xy\cdot12\)
\(\Rightarrow35x+35y=2010x-2010y\)
\(\Rightarrow35-2010x=2010y-35y\)
\(\Rightarrow-175x=-245y\)
\(\Rightarrow\frac{x}{y}=\frac{245}{175}=\frac{7}{5}\)
\(\Rightarrow\frac{x}{7}=\frac{y}{5}\)
Đặt \(\frac{x}{7}=\frac{y}{5}=k\)
\(\Rightarrow x=7k;y=5k\)
\(\Rightarrow\left(5k+7k\right)\cdot35=35k^2\cdot12\)
\(\Rightarrow k=k^2\Rightarrow k=1\left(k\ne0\right)\)
Vậy \(x=7;y=5\)
bài 2 chưa thuyết phục lắm, nếu \(a^2+b^2+c^2+2\left(ab+bc+ca\right)=0\) thì \(ab+bc+ca\ge0\) vẫn đúng, lẽ ra phải là \(ab+bc+ca=-\frac{\left(a^2+b^2+c^2\right)}{2}\le0\) *3*
a) goi hai so la a ; b va a >b
vi UCLN(a,b)=18=>a=18k ; b=18q (trong do UCLN (k,q)=1 va k>q)
=>a+b=162
18k+18q =162
18(k+q)=162
k+q=9
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52542000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 542454550212.100000000000000000000000000000000000000000000000000000000000000000000000000000 |
Bài 6 :
Số hàng dọc nhiều nhất là : 6 hàng
Lớp 6a có 9 hàng ngang.
Lớp 6b có 7 hàng ngang.
Lớp 6c có 8 hàng ngang.
Bài 7 :
Số 315
Bài 8 :
ƯCLN(n+3,2n+5) = 1
Bài 9 :
ƯCLN(3n+1,5n+4) = 1
Bài 10 :
1) a = 228 , b = 28
a = 112 , b = 56