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=1/2×2/3×3/4×....×49/50
=(1×2×3×4×...×49)/(2×3×4×...×50)
=1/50
Chắc chắn đúng
\(1\frac{1}{3}.1\frac{1}{8}.1\frac{1}{15}....1\frac{1}{9800}=\frac{4}{3}.\frac{9}{8}.\frac{16}{15}....\frac{9801}{9800}\)
\(=\frac{2.2}{1.3}.\frac{3.3}{2.4}.\frac{4.4}{3.5}....\frac{99.99}{98.100}\)
\(=\frac{2.3.4...99}{1.2.3....98}.\frac{2.3.4...99}{3.4.5...100}\)
\(=99.\frac{2}{100}=99.\frac{1}{50}=\frac{99}{50}\)
a,
\(x^{15}=x\)\(\Leftrightarrow\hept{\begin{cases}x=-1\\x=1\\x=0\end{cases}}\)
b, \(3+2^{\text{x}-1}=24-\text{[}4^2-\left(2^2-1\right)\text{]}\)
\(\Rightarrow3+2^{\text{x}-1}=24-\left(16-3\right)\)
\(\Rightarrow3+2^{\text{x}-1}=24-13\)
\(\Rightarrow2^{\text{x}-1}=11-3\)
\(\Rightarrow2^{\text{x}-1}=8\)
\(\Rightarrow2^{\text{x}-1}=2^3\)
\(\Rightarrow x-1=3\Rightarrow x=3+1=4\)
Vậy x = 4
a, Tham khảo : Tìm x biết x^15=x - Lê Nhật Minh
b, \(3+2^{x-1}=24-\left[4^2-(2^2-1)\right]\)
\(\Leftrightarrow3+2^{x-1}=24-\left[16-(4-1)\right]\)
\(\Leftrightarrow3+2^{x-1}=24-\left[16-3\right]\)
\(\Leftrightarrow3+2^{x-1}=24-13\)
\(\Leftrightarrow3+2^{x-1}=11\)
\(\Leftrightarrow2^{x-1}=8\)
\(\Leftrightarrow2^{x-1}=2^3\)
\(\Leftrightarrow x-1=3\Leftrightarrow x=4\)
Vậy x = 4
bạn viết rõ đề lại lần nx dc ko bạn phần cuối đề khó hiểu quá ạ
:3
\(a,\frac{62}{7}:x=\frac{29}{9}:\frac{3}{56}\)
\(\frac{62}{7}:x=\frac{1624}{27}\)
\(x=\frac{62}{7}:\frac{1624}{27}=\frac{837}{5684}\)
\(b,\frac{1}{5}:x=\frac{1}{5}-\frac{1}{7}\)
\(\frac{1}{5}:x=\frac{2}{35}\)
\(x=\frac{1}{5}:\frac{2}{35}=\frac{7}{2}\)
\(c,\frac{2}{3}.x-\frac{4}{7}=\frac{1}{7}\)
\(\frac{2}{3}.x=\frac{1}{7}+\frac{4}{7}=\frac{5}{7}\)
\(x=\frac{5}{7}:\frac{2}{3}=\frac{15}{14}\)
\(d,\frac{2}{7}-\frac{8}{9}.x=\frac{2}{3}\)
\(\frac{8}{9}.x=\frac{2}{7}-\frac{2}{3}=-\frac{8}{21}\)
\(x=-\frac{8}{21}:\frac{8}{9}=-\frac{3}{7}\)
\(e,\frac{4}{7}+\frac{5}{9}:x=\frac{1}{5}\)
\(\frac{5}{9}:x=\frac{1}{5}-\frac{4}{7}=-\frac{13}{35}\)
\(x=\frac{5}{9}:-\frac{13}{35}=\frac{175}{117}\)
\(i,\frac{2}{5}-\frac{2}{5}.x=\frac{2}{5}\)
\(\frac{2}{5}.\left(1-x\right)=\frac{2}{5}\)
\(1-x=\frac{2}{5}:\frac{2}{5}=1\)
\(x=1-1=0\)
\(g,\frac{2}{3}+\frac{1}{3}:x=-1\)
\(\frac{1}{3}:x=-1-\frac{2}{3}=-\frac{5}{3}\)
\(x=\frac{1}{3}:-\frac{5}{3}=-\frac{1}{5}\)
học tốt nha
A= ( 1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10)+(1+2+1+2+3+1+2+3+4+1+2+3+4+5+1+2+3+4+5+6+1+2+3+4+5+6+7+1+2+3+4+5+6+7+8+1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9+10
A= tự phân tích nha :)
Nhận xét:
-1+1/3= 0/3=0
-1+1/8= 0/8=0
-1+1/15= 0/15=0
........
-1+1/9800=0/9800=0
Do đó ta có:-1+1/3+ -1+1/8+ -1+1/15....-1+1/9800
=0+0+0....+0
=0
-1+1/3= 0/3=0
-1+1/8= 0/8=0
-1+1/15= 0/15=0
........
-1+1/9800=0/9800=0
Do đó ta có:-1+1/3+ -1+1/8+ -1+1/15....-1+1/9800
=0+0+0....+0
=0