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a: =>3[(2x-1)^2-4]=49*125:175+196=231
=>(2x-1)^2-4=77
=>(2x-1)^2=81
=>2x-1=9 hoặc 2x-1=-9
=>x=5 hoặc x=-4
b: \(\Leftrightarrow2\cdot3^x\cdot3-4^3=7^2\cdot\left(27-25\right)\)
=>\(6\cdot3^x=49\cdot2+64=162\)
=>3^x=27
=>x=3
Lời giải:
a.
$3[(2x-1)^2-4]-14^2=7^2.5^3:175=35$
$3[(2x-1)^2-4]=35+14^2=231$
$(2x-1)^2-4=231:3=77$
$(2x-1)^2=77+4=81=9^2=(-9)^2$
$\Rightarrow 2x-1=9$ hoặc $2x-1=-9$
$\Rightarrow x=5$ hoặc $x=-4$
b.
$2.3^{x+1}-4^{10}:4^7=(7^5:7^3).(3^3-5^2)=7^2.2=98$
$2.3^{x+1}-4^3=98$
$2.3^{x+1}=98+4^3=162$
$3^{x+1}=162:2=81=3^4$
$\Rightarrow x+1=4$
$\Rightarrow x=3$
a) \(\left[\left(x+32\right)-17\right].2=42\)
\(\left[\left(x+32\right)-17\right]=42:2\)
\(\left[\left(x+32\right)-17\right]=21\)
\(\left(x+32\right)=21+17\)
\(\left(x+32\right)=38\)
\(x=38-32\)
\(x=6\)
b) \(125+\left(145-x\right)=175\)
\(\left(145-x\right)=175-125\)
\(\left(145-x\right)=50\)
\(x=145-50\)
\(x=95\)
Answer:
Bài 3:
\(334-\left(-75\right)+[\left(-175\right)-34]\)
\(=334+75-175-34\)
\(=\left(334-34\right)+\left(75-175\right)\)
\(=300+\left(-100\right)\)
\(=200\)
\(68-\left(-45\right)-[368-\left(-145\right)]\)
\(=68+45-[368+145]\)
\(=\left(68-368\right)+\left(45-145\right)\)
\(=\left(-300\right)+\left(-100\right)\)
\(=-400\)
Bài 4:
\(-17-\left(x-5\right)=-52\)
\(\Rightarrow x-5=-17-\left(-52\right)\)
\(\Rightarrow x-5=35\)
\(\Rightarrow x=40\)
\(3\left(7-x\right)+\left(-12\right)=-75\)
\(\Rightarrow3\left(7-x\right)=-75-\left(-12\right)\)
\(\Rightarrow3\left(7-x\right)=-63\)
\(\Rightarrow7-x=-21\)
\(\Rightarrow x=28\)
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a, (x + 30) – 75 = 125
=> x + 30 = 125 + 75 = 200
=> x = 200 – 30
=> x = 170
Vậy x = 170
b, x – 72 : 36 = 18
=> x – 2 = 18
=> x = 18 + 2 = 20
Vậy x = 20
c, x – 17 = 54
=> x = 54 +17
=> x = 71.
Vậy x = 71
d, 36 – (x – 2) = 12
=> x – 2 = 36 – 12
=> x = 24 + 2 = 26
Vậy x = 26
e, 9x – 7 = 837
=>9x = 837 + 7 = 844
=> x = 844 9
Vậy x = 844 9
f, (x – 15) – 107 = 0
=> x – 15 = 107
=> x = 107 +15
=> x = 122.
Vậy x = 122
g, 134 + (116 – x) = 145
=> 116 – x = 145 – 134
=> x = 116 – 11
=> x = 5.
Vậy x = 5
\(175-75:\left(x+1\right)\times2=145\\ \Rightarrow75:\left(x+1\right)\times2=30\\ \Rightarrow75:\left(x+1\right)=15\\ \Rightarrow x+1=5\\ \Leftrightarrow x=4\)
Vậy x = 4
175 - 75 : ( x + 1) x 2 =145
75 : ( x+1) x 2 = 175-145
75:(x+1) x 2= 30
75:(x+1) = 30 : 2
75 : ( x+1)= 15
x+1 = 75:15
x+1 = 5
x = 5-1=4