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\(\Rightarrow\left[3\left(x+1\right)+8\right]⋮\left(x+1\right)\\ \Rightarrow x+1\inƯ\left(8\right)=\left\{-8;-4;-2;-1;1;2;4;8\right\}\\ \Rightarrow x\in\left\{-9;-5;-3;-2;0;1;3;7\right\}\)
Giải thích các bước giải:
-1+3-5+7-...+x=1000
= (-1+3)+(-5+7)+...+x=1000
= 2+2+...+x=1000
= 2 x (x−22+1):2(x−22+1):2=1000
= (x−22+1)(x−22+1)=1000
= (x−22(x−22=999
= x-2=1998
⇒x = 2000
HT nha
\(\dfrac{2\text{x}-1}{3}=\dfrac{3\text{x}+1}{4}\)
\(\Leftrightarrow=\dfrac{4\left(2\text{x}-1\right)}{12}=\dfrac{3\left(3\text{x}+1\right)}{12}\)
\(\Leftrightarrow8\text{x}-4=9\text{x}+3\)
\(\Leftrightarrow8\text{x}-9\text{x}=3+4\)
\(\Leftrightarrow-x=7\)
\(\Leftrightarrow x=-7\)
Ix-7I+24=24-x+(-24)+x+40
Ix-7I+24=24+(-24)+40+(-x+x)
Ix-7I+24=40
Ix-7I=40-24
Ix-7I=16
x-7=16 hoặc x-7=-16
x=16+7 x=-16+7
x=23 x=-9
Vậy x=23 hoặc x=-9
Ix-7I+24=24-x+(-24)+x+40
Ix-7I+24=24+(-24)+40+(-x+x)
Ix-7I+24=40
Ix-7I=40-24
Ix-7I=16
x-7=16 hoặc x-7=-16
x=16+7 x=-16+7
x=23 x=-9
Vậy x=23 hoặc x=-9
\(\dfrac{-1}{4}< \dfrac{x}{24}< \dfrac{-1}{6}\\ \dfrac{-6}{24}< \dfrac{x}{24}< \dfrac{-4}{24}\\ \Rightarrow x=-5\)
\(\left(4-x\right)y+3x=15\)
\(\left(4-x\right)y+3x-15=0\)
\(-\left[\left(x-4\right)y-3x15\right]=0\)
\(\left(x-4\right)y-3x+15=0\)
\(x-4=0\)
\(x=4\)
\(y-3=0\)
\(y=3\)
\(=>x=4;y=3\)
a) \(3^x-27.3^5.3^2=0\)
\(3^x-3^3.3^5.3^3=0\)
\(3^x=3^{13}\)
\(x=13\)
b) \(\left(-5+3x\right):4=16\)
\(-5+3x=64\)
\(3x=69\)
\(x=23\)
\(x+7⋮x-3\\ \Rightarrow\left(x+7\right)-\left(x-3\right)⋮x-3\\ \Rightarrow10⋮x-3\\ \Rightarrow x-3\in\left\{\pm10;\pm5;\pm2;\pm1\right\}\\ \Rightarrow x\in\left\{13;-7;8;-2;5;1;4;2\right\}\)
(3x - 24).3 = 2.54
(3x - 24).3 = 108
3x – 24 = 108 : 3
3x – 24 = 36
3x = 36 + 24
3x = 60
X = 60 : 3
X = 20
(3x-24).3=2.54
9x-72=108
9x =108-72
9x =36
x=36:4
x=9
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