tìm x:
a. 2,5 * 0,4 = 25 * 4 * x
b. 0,8 * 0,06 = 8 * 6 * x
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6*x+7.19*x=3.558
(6+7.19)*x=3.558
13.19*x=3.558
x=3.558/13.19
=0.2697498105
tính nhanh
0,8 x 0,4 x 1,25 x 25 + 0,725 + \(\frac{0,25}{2,25\times4\times8\times25}\)
= (0,8 x 0,4) x (1,25 x 25) + 0,725 + \(\frac{0,25}{2,25\times4\times8}\)
= 0,32 x 31,25 + 0,725 + \(\frac{0,25}{2,25\times4\times8}\)
= 10 + 0,725 + \(\frac{0,25}{2,25\times4\times8}\)
= 10 + 18,725
= 28,725
Hk tốt,
k nhé
a,0.8*0.4*1.25*25+31.8+68.2*0.1*12.5*4*2.5*8*0.2*5=1100000
\(\frac{0,8\times0,4\times1,25\times2,5\times31,8+68,2}{0,1\times12,5\times4\times2,5\times2\times8\times0,2\times5}\)
\(=\frac{\left(0,8\times1,25\right)\times\left(0,4\times2,5\right)\times31,8+68,2}{0,1\times\left(12,5\times8\right)\times\left(4\times2,5\right)\times2\times\left(0,2\times5\right)}\)
\(=\frac{1\times1\times31,8+68,2}{0,1\times100\times10\times2\times1}\)
\(=\frac{31,8+68,2}{0,1\times100\times10\times2\times1}=\frac{100}{200}=\frac{1}{2}\)
\(x\times12,5=15\\ x=15:12,5=1,2\\ x-1,27=3\\ x=3+1,27=4,27\)
Bài 1:
a)\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,2\cdot4\right)^5}{\left(0,2\cdot2\right)^6}=\frac{\left(0,2\right)^5\cdot\left(2^2\right)^5}{\left(0,2\right)^6\cdot2^6}=\frac{\left(0,2\right)^5\cdot2^{10}}{\left(0,2\right)^6\cdot2^6}=\frac{2^4}{0,2}=\frac{16}{\frac{2}{10}}=80\)
b)\(\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(1+2^{10}\right)}=\frac{2^{20}}{2^{12}}=256\)
Bài 2:
a)\(2^{x-1}=16\)
\(\Rightarrow2^{x-1}=2^4\)
\(\Rightarrow x-1=4\Rightarrow x=5\)
b)\(\left(x-1\right)^2=25\)
\(\Rightarrow\left(x-1\right)^2=5^2=\left(-5\right)^2\)
\(\Rightarrow x-1=5\) hoặc \(x-1=-5\)
\(\Rightarrow x=6\) hoặc \(x=-4\)
Vậy \(x=6\) hoặc \(x=-4\)
c)\(\left(x-1\right)^{x+2}=\left(x-1\right)^{x+6}\)
\(\Rightarrow\left(x-1\right)^{x+2}-\left(x-1\right)^{x+6}=0\)
\(\Leftrightarrow\left(x-1\right)^{x+2}\left[1-\left(x-1\right)^4\right]\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}\left(x-1\right)^{x+2}=0\\1-\left(x-1\right)^4=0\end{array}\right.\)\(\Leftrightarrow\left[\begin{array}{nghiempt}x-1=0\\1=\left(x-1\right)^4\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=1\\\left(x-1\right)^4=\left(-1\right)^4=1^4\end{array}\right.\)\(\Leftrightarrow\left[\begin{array}{nghiempt}x=1\\x-1=1\\x-1=-1\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=1\\x=2\\x=0\end{array}\right.\)
d)\(\left(x+20\right)^{100}+\left|y+4\right|=0\left(1\right)\)
Ta thấy: \(\begin{cases}\left(x+20\right)^{100}\ge0\\\left|y+4\right|\ge0\end{cases}\)
\(\Rightarrow\left(x+20\right)^{100}+\left|y+4\right|\ge0\left(2\right)\)
Từ (1) và (2) suy ra \(\begin{cases}\left(x+20\right)^{100}=0\\\left|y+4\right|=0\end{cases}\)
\(\Rightarrow\begin{cases}x+20=0\\y+4=0\end{cases}\)\(\Rightarrow\begin{cases}x=-20\\y=-4\end{cases}\)
a. 2,5 * 0,4 = 25 * 4 * x
=> 25 * 4 * x = 2,5 * 0,4
=> 25 * 4 * x = 1
=> 4 * x =1 / 25
=> 4 * x = 0,04
=> x = 0,04 / 4
=> x = 0,01
b. 0,8 * 0,06 = 8 * 6 * x
=> 8 * 6 * x = 0,8 * 0,06
=> 8 * 6 * x = 0,048
=> 6 * x = 0,048 / 8
=> 6 * x = 0,006
=> x = 0,006 / 6
=> x = 0,001
a)2,5.0,4=25.4x
1=100x
=>x=0,01
b) 0,8.0,06=8.6x
0,048=48x
=> x=0,001