3.52 .(x- 25)-225 =0
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\(a,96-3\left(x+8\right)=42\\ \Rightarrow3\left(x+8\right)=54\\ \Rightarrow x+8=18\\ \Rightarrow x=10.\\ b,15.5\left(x-25\right)-225=0\\ \Rightarrow75\left(x-25\right)-225=0\\ \Rightarrow75\left(x-25\right)=225\\ \Rightarrow x-25=3\\ \Rightarrow x=28.\\ c,250:x+15=25\\ \Rightarrow250:x=10\\ \Rightarrow x=25\\ d,36:\left(x-5\right)=2^2\\ \Rightarrow36:\left(x-5\right)=4\\ \Rightarrow x-5=9\\ \Rightarrow x=14.\\ e,\left[3.\left(70-x\right)+5\right]:2=46\\ \Rightarrow3.\left(70-x\right)+5=92\\ \Rightarrow3\left(70-x\right)=87\\ \Rightarrow70-x=29\\ \Rightarrow x=41.\)
1:
a: \(35\cdot16+35\cdot28-44\cdot15\)
\(=35\left(16+28\right)-44\cdot15\)
\(=44\left(35-15\right)\)
\(=44\cdot20=880\)
b: \(240-2\left(3\cdot5^2-20:2^2\right)\)
\(=240-2\left(3\cdot25-20:4\right)\)
\(=240-150+10=10+90=100\)
2:
b: \(\left(8-3x\right)^4-1=15\)
=>\(\left(3x-8\right)^4=16\)
=>\(\left[{}\begin{matrix}3x-8=2\\3x-8=-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x=10\\3x=6\end{matrix}\right.\)
=>x=10/3 hoặc x=2
c: \(218-5\left(x-8\right)=2^5:2^2\)
=>\(218-5\left(x-8\right)=2^3=8\)
=>5(x-8)=210
=>x-8=42
=>x=50
d: \(\left(5-3x\right)^4-1=15\)
=>\(\left(3x-5\right)^4-1=15\)
=>\(\left(3x-5\right)^4=16\)
=>\(\left[{}\begin{matrix}3x-5=-4\\3x-5=4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x=1\\3x=9\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=3\end{matrix}\right.\)
Bài 3:
a: Ta có: 60-3(x-2)=51
\(\Leftrightarrow x-2=3\)
hay x=5
b: Ta có: \(4x-20=25:2^2\)
\(\Leftrightarrow4x=\dfrac{25}{4}+20=\dfrac{105}{4}\)
hay \(x=\dfrac{105}{16}\)
c: Ta có: \(8\cdot6+288:\left(x-3\right)^2=50\)
\(\Leftrightarrow288:\left(x-3\right)^2=50-48=2\)
\(\Leftrightarrow\left(x-3\right)^2=144\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=12\\x-3=-12\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=15\\x=-9\end{matrix}\right.\)
a) 35-{12-[-14+(-2)]}.
= 35 - 12 + 14 + 2
= 35 + 14 - (12 - 2)
= 49 - 10
= 39
b) 160:{17+[9×5-(14+2048:256)]}.
= 160: {17 + [45 - (14 + 8)]}
= 160: {17 + [45 - 22)]}
= 160:{17 + 23}
= 160: 40 = 4
c) 20210-{225:[20×15-8×25]-25}.
= 1 - {225:[300 - 200] - 25}
= 1 - {225 : 100 - 25}
= 1 - {2,25 - 25}
= 1 + 25 - 2,25
= 23,75
a,3.52+(15.22-23.22)
= 156 + 22(15 - 23)
= 156 + 22. (-8)
= 156 - 176
= -20
b,75.34+76.75-75.10
= 75(34 + 76 - 10)
= 75. 100
= 7500
c,84:4+3 mũ 9 : 3 mũ 7 +2017 mũ 0
= 84 : 4 + 39 : 37 + 20170
= 21 + 9 + 1
= 31
a) Ta có: \(3\cdot52+\left(15\cdot22-23\cdot22\right)\)
\(=3\cdot52+22\cdot\left(15-23\right)\)
\(=3\cdot52+22\cdot\left(-8\right)\)
\(=156-176=-20\)
b) Ta có: \(75\cdot34+76\cdot75-75\cdot10\)
\(=75\cdot\left(34+76-10\right)\)
\(=75\cdot\left(110-10\right)\)
\(=75\cdot100\)
\(=7500\)
c) Ta có: \(84:4+3^9:3^7+2017^0\)
\(=21+3^{9-7}+1\)
\(=22+3^2\)
\(=22+9=31\)
3 . 52 . (x - 25) - 225 = 0
3 . 52 . (x - 25) = 0 + 225
3 . 52 . (x - 25) = 225
x - 25 = 225 : 3 : 52
x - 25 = 75 : 25
x - 25 = 3
x = 3 + 25
x = 28
Chúc bạn học tốt.
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