a. 22 - 49 = 5 . 32
b. 2x : 25 = 1
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\(\left(1900-2x\right):35-32=16\)
\(\left(1900-2x\right):35=48\)
\(1900-2x=1680\)
\(2x=220\)
\(x=110\)
\(\left(1900-2x\right):35=16+32\)
\(\left(1900-2x\right):35=48\)
\(1900-2x=48.35\)
\(1900-2x=1680\)
\(2x=1900-1680\)
\(2x=220\)
\(x=220:2\)
\(x=110\)
Vậy x=110
a) \(A=\dfrac{1}{x+5}+\dfrac{2}{x-5}-\dfrac{2x+10}{\left(x+5\right)\left(x-5\right)}\)
\(A=\dfrac{x-5+2x+10-2x-10}{\left(x+5\right)\left(x-5\right)}=\dfrac{x-5}{\left(x+5\right)\left(x-5\right)}=\dfrac{1}{x+5}\)
b) \(A=-3\Rightarrow\dfrac{1}{x+5}=-3\)
\(\Leftrightarrow x+5=-\dfrac{1}{3}\Leftrightarrow x=-\dfrac{1}{3}-5=\dfrac{-16}{3}\)
\(9x^2-42x+49=\left(3x-7\right)^2=\left(3.\dfrac{-16}{3}-7\right)^2=\left(-23\right)^2=529\) \(\left(x=\dfrac{-16}{3}\right)\)
\(\hept{\begin{cases}2x=5y\\3x+4y=46\end{cases}}\Leftrightarrow\hept{\begin{cases}\frac{x}{\frac{1}{2}}=\frac{y}{\frac{1}{5}}\\3x+4y=46\end{cases}}\Leftrightarrow\hept{\begin{cases}\frac{3x}{\frac{3}{2}}=\frac{4y}{\frac{4}{5}}\\3x+4y=46\end{cases}}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\frac{3x}{\frac{3}{2}}=\frac{4y}{\frac{4}{5}}=\frac{3x+4y}{\frac{3}{2}+\frac{4}{5}}=\frac{46}{\frac{23}{10}}=20\)
\(\frac{3x}{\frac{3}{2}}=20\Rightarrow3x=30\Rightarrow x=10\)
\(\frac{4y}{\frac{4}{5}}=20\Rightarrow4y=16\Rightarrow y=4\)
2.x=5.y = \(\frac{X}{5}\)=\(\frac{Y}{2}\)=\(\frac{3x+4Y}{3.5+4.2}\)=\(\frac{46}{23}\)=2
\(\frac{X}{5}\)=2 => x=2.5=10
\(\frac{Y}{2}\)=2 =>y=2.2=4
\(\frac{1.3.5+2.6.10+4.12.20+7.21.35}{1.5.7+2.10.14+4.20.28+7.35.49}\)
\(=\frac{1.3.5\left(1+2+4+7\right)}{1.5.7\left(1+2+7+7\right)}=\frac{1.3.5}{1.5.7}=\frac{15}{35}=\frac{3}{7}\)
\(\frac{1\cdot3\cdot5+2\cdot6\cdot10+4\cdot12\cdot20+7\cdot21\cdot35}{1\cdot5\cdot7+2\cdot10\cdot14+4\cdot20\cdot28+7\cdot35\cdot49}\)
\(=\)\(\frac{1\cdot3\cdot5\cdot\left(1+2+4+7\right)}{1\cdot5\cdot7\cdot\left(1+2+7+7\right)}\)
\(=\frac{1\cdot3\cdot5}{1\cdot5\cdot7}\)\(=\frac{15}{35}=\frac{3}{7}\)
bn vội quá viết nhầm lun kìa
hj hj chúc bn làm bài tốt nha
Ta có : 3(2x - 1)2 \(\ge0\forall x\)
7(3y + 5)2 \(\ge0\forall x\)
Mà : 3(2x - 1)2 + 7(3y + 5)2 = 0
Nên : 3(2x - 1)2 = 7(3y + 5)2 = 0
\(\Leftrightarrow\hept{\begin{cases}3\left(2x-1\right)^2=0\\7\left(3y+1\right)^2=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}\left(2x-1\right)^2=0\\\left(3y+1\right)^2=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}\left(2x-1\right)=0\\\left(3y+1\right)=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}2x=1\\3y=-1\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=\frac{1}{2}\\y=-\frac{1}{3}\end{cases}}\)
a, 1 + 3 + 5 + 7 + ............. + n
=\(\frac{\left(n+1\right)\left(n-1\right)}{2}\)=676
=>\(\left(n+1\right)\left(n-1\right)\)=676*2 =1352
Còn lạ bạn tự suy luận là ra
[1+n].n:2=676
[1+n].n=1352=35.37
n=20
[2+n].n:2=992
[2+n].n=1984=42.44
n=44
a: A=2/9(9+99+...+99..99)
=2/9(10-1+10^2-1+...+10^22-1)
=2/9[10+10^2+...+10^22-22]
Đặt B=10+10^2+...+10^22
=>10B=10^2+10^3+...+10^23
=>B=(10^23-10)/9
=>\(A=\dfrac{2}{9}\cdot\left(\dfrac{10^{23}-10}{9}-22\right)\)
=>\(A=\dfrac{2\cdot10^{23}-416}{81}\)
a, \(^{2^2}\) x- 49 = 5. \(^{3^2}\)
4x - 49 = 45
4x = 45+49
4x = 94
x = 94 :4
x = 26
b, 2\(^{^x}\) : 25 = 1
2\(^{^x}\) 5\(^{^2}\) = 1
2\(^{^x}\) = 2
x = 2 : 2
x = 1