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có x+(x+1)+(x+2)+....+(x+30) = 1240
x+x+1+x+2+......+x+30 = 1240
(x+x+x+...+x) + ( 1+ 2+....+30) = 1240
31 số x
31.x + ( 30 +1) . 30 : 2 = 1240
31.x + 465 = 1240
31.x = 1240 - 465
31.x = 775
x = 775 :31
x= 25
Vậy x=25
a: \(\Leftrightarrow x-3\inƯ\left(21\right)\)
\(\Leftrightarrow x-3\in\left\{-3;-1;1;3;7;21\right\}\)
hay \(x\in\left\{0;2;4;6;10;24\right\}\)
b: \(\Leftrightarrow x-1\in\left\{1;-1;17\right\}\)
hay \(x\in\left\{2;0;18\right\}\)
c: \(\Leftrightarrow2x-1+4⋮2x-1\)
\(\Leftrightarrow2x-1\in\left\{1;-1\right\}\)
hay \(x\in\left\{1;0\right\}\)
d: \(\Leftrightarrow x^2+x+3⋮x+1\)
\(\Leftrightarrow x+1\inƯ\left(3\right)\)
\(\Leftrightarrow x+1\in\left\{1;3\right\}\)
hay \(x\in\left\{0;2\right\}\)
Bài 1:
a) \(24 - (-15) - 2\)
\(=39-2\)
\(=37\)
b) \((-85) + 10 - (-85) - 50\)
\(=[(-85)-(-85)]+10-50\)
\(=0+10-50\)
\(=10-50\)
\(=-40\)
c) \(71 - (-30) - (+18) + (-30)\)
\(=[(-30)-(-30)]+71-(+18)\)
\(=0+71-18\)
\(=71-18\)
\(=53\)
d) \(-(30) - (+37) + (+37) + (-85)\)
\(=[-(+37)+(+37)]-(30)+(-85)\)
\(=0-(30)+(-85)\)
\(=(-30)+(-85)\)
\(=-115\)
e) \((35-815) - (795-65)\)
\(=(-780)-730\)
\(=-1510\)
g) \((2002-79+15) + (-79+15)\)
\(=1938+(-64)\)
\(=1874\)
Bài 2:
a) \(25 - (30+x) = x - (27-8)\)
\(25-30-x=x-27+8\)
\(x+x=25-30+27-8\)
\(2x=14\)
\(x=14\div2\)
\(x=7\)
b) \((x-12) - 15 = (20-17) - (18+x) \)
\(x-12-15=13-18-x\)
\(x-27=-5-x\)
\(x+x=-5+27\)
\(2x=22\)
\(x=22\div2\)
\(x=11\)
c) \(15 - x = 7 - (-2)\)
\(15-x=9\)
\(x=15-9\)
\(x=6\)
d) \(x - 35 = (-12) - 3\)
\(x-35=-15\)
\(x=-15+35\)
\(x=20\)
e) \(\left|5-x\right|-26=-15\)
\(\left|5-x\right|=-15+26\)
\(\left|5-x\right|=11\)
Từ đây ta có:
*Nếu \(5-x=11\)
\(x=5-11\)
\(x=-6\)
*Nếu \(5-x=-11\)
\(x=5-(-11)\)
\(x=16\)
Vậy \(x=-6;x=16\)
x+(x+1)+(x+2)+(x+3)+.......+(x+30)=1240
\(\Leftrightarrow\left(x+x+x.+...x\right)+\left(1+2+3...+30\right)=1240\)
\(\Rightarrow30x+465=1240\)
\(\Rightarrow30x=1240-465=775\)
\(\Rightarrow30x=775\)
\(V\text{ậy}x=\frac{155}{6}\)
1+2+3+.....+x=210
\(\left(1+x\right).x=210\)
\(\Rightarrow x=14\)
x+(x+1)+(x+2)+...+(x+30)=1240
=>x+x+1+x+2+...+x+30=1240
=>(x+x+x+...+x)+(1+2+...+30)=1240
=>31x+[(30-1):1+1] . (30+1) :2=1240
=>31x+30.31:2=1240
=>31x+15.31=1240
=>31(x+15)=1240
=>x+15=1240:31=40
=>x=40-15=25
1+2+3+...+x=210
=>[(x-1):1+1]. (x+1) : 2= 210
=>x.(x+1):2=210
=>x(x+1)=210.2=420
=>x(x+1)=20.21
=>x=20
a: -x+5/9=-1/3
nên x=5/9+1/3=5/9+3/9=8/9
b: \(\Leftrightarrow\dfrac{1}{5}+\dfrac{1}{10}+\dfrac{11}{15}< x< \dfrac{1}{2}+\dfrac{13}{12}+\dfrac{1}{3}\)
=>31/30<x<23/12
mà x là số nguyên
nên \(x\in\varnothing\)
c: x+5/3=1/81
nên x=1/81-135/81=-134/81
a) / 2x + 1 / = 7
=>2x+1 thuộc {-7;7}
+)2x+1=7=>2x=6=>x=3
+)2x+1=-7=>2x=-8=>x=-4
vậy x thuộc {3;-4}
b) 3/x + 1 / + 1 = 27
=>3/x+1/=27-1=26
=>/x+1/=26:3=26/3
=>x+1 thuộc {-26/3; 26/3}
+)x+1=26/3=>x=26/3 - 1 = 23/3
+)x+1=-26/3=>x=-26/3 - 1=-29/3
vậy x thuộc {-29/3; 23/3}