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-3 (2x + 5 ) - 16 < -4 (3 - 2x) => -6x-15-16 < -12 + 8x
=> -6x - 31 < -12 + 8x
=> -6x - 31 +12 - 8x <0
=> -14x - 19 < 0
=> -14x < 19
=> x>-19/14
Chúc bạn học tốt!
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- \(15+4x< 2x-145\)
\(\Rightarrow15+4x-2x+145< 0\)
\(\Rightarrow\left(15+145\right)+\left(4x-2x\right)< 0\)
\(\Rightarrow160+2x< 0\)
\(\Rightarrow2x< 0-160\)
\(\Rightarrow2x< -160\)
\(\Rightarrow x< \left(-160\right)\div2\)
\(\Rightarrow x< -80\)
Vậy x < -80
- \(-3\left(2x+5\right)-16< -4\left(3-2x\right)\)
\(\Rightarrow\left(-3\right)\times2x+\left(-3\right)\times5-16< \left(-4\right)\times3-\left(-4\right)\times2x\)
\(\Rightarrow-6x+\left(-15\right)-16< \left(-12\right)-\left(-8x\right)\)
\(\Rightarrow-6x-15-16< \left(-12\right)+8x\)
\(\Rightarrow-6x-31< \left(-12\right)+8x\)
\(\Rightarrow-6x-31+12-8x< 0\)
\(\Rightarrow-6x-8x-31+12< 0\)
\(\Rightarrow\left(-6x-8x\right)-19< 0\)
\(\Rightarrow-14x-19< 0\)
\(\Rightarrow-14x< 0+19\)
\(\Rightarrow-14x< 19\)
\(\Rightarrow x< 19\div\left(-14\right)\)
\(\Rightarrow x< -\frac{19}{14}\)
Vậy \(x< -\frac{19}{14}\)
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a) \(\left(2x-1\right)^4=16\)
\(\)TH1: \(\left(2x-1\right)^4=2^4\)
\(=>2x-1=2\)
\(2x=2+1\)
\(2x=3\)
\(x=\dfrac{3}{2}\)
TH2: \(\left(2x-1\right)^4=\left(-2\right)^4\)
\(=>2x-1=-2\)
\(2x=-2+1\)
\(2x=-1\)
\(x=\dfrac{-1}{2}\)
Vậy x = \(\dfrac{3}{2}\) hoặc x = \(\dfrac{-1}{2}\)
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b) \(\left(2x+1\right)^3=125\) ( mình nghĩ đề bài đúng là vầy )
\(\left(2x+1\right)^3=5^3\)
\(=>2x+1=5\)
\(2x=5-1\)
\(2x=4\)
\(x=4:2\)
\(x=2\)
Vậy x = \(2\)
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Tìm số nguyên x, biết:
1) -16 + 23 + x = - 16
7+x=-16
x=-16-7
x=-23
2) 2x – 35 = 15
2x=15+35
2x=50
x=50:2
x=25
3) 3x + 17 = 12
3x=12-17
3x=-5
x=-5/3
4) (2x – 5) + 17 = 6
2x-5=6-17
2x-5=-11
2x=-11+5
2x=-6
x=-6:2
x=-3
5) 10 – 2(4 – 3x) = -4
2(4-3x)=10-(-4)
2(4-3x)=14
4-3x=14:2
4-3x=7
3x=4-7
3x=-3
x=-3:3
x=-1
6) - 12 + 3(-x + 7) = -18
3(-x+7)=-18-(-12)
3(x+7)=-6
x+7=-6:3
x+7=-2
x=-2-7
x=-9
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b) 2x + 15 = -27
2x = -27 - 15
2x = -42
x = -42 : 2
x = -21
c) -765 - (305 + x) = 100
305 + x = -765 - 100
305 + x = -865
x = -865 - 305
x = -1170
d) 2x : 4 = 16
2x = 16 x 4
2x = 64
2x = 26
⇒ x = 6
e) 128 - 3.(x + 4) = 23
3.(x + 4) = 128 - 23
3.(x + 4) = 105
x + 4 = 105 : 3
x + 4 = 35
x = 35 - 4
x = 31
2x : 4 = 16
2x = 16 x 4
2x = 64
2x = 26
⇒ x = 6
2^x :4=16
2^x =16x4
2^x =64
2^x =2^6
x =6