x + (x + 1) + (x + 2) + (x + 3) +...+ (x +20) = 420
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\(\left(x+\dfrac{1}{2}\right)+\left(x+\dfrac{1}{6}\right)+\left(x+\dfrac{1}{12}\right)+...+\left(x+\dfrac{1}{420}\right)=20\)
\(\left(x+x+x+...+x\right)+\left(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{420}\right)=20\) (20 số x)
\(20x+\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{20}-\dfrac{1}{21}\right)=20\)
\(20x+\left(1-\dfrac{1}{21}\right)=20\)
\(20x+\dfrac{20}{21}=20\)
\(20x=20-\dfrac{20}{21}\)
\(20x=\dfrac{400}{21}\)
\(x=\dfrac{400}{21}:20\)
\(x=\dfrac{400}{21}.\dfrac{1}{20}\)
\(x=\dfrac{20}{21}\)
Tìm x :
x + 1/3 = 4/5
x = 4/5 - 1/3
x = 12/15 - 5/15
x = 7/15
x - 1/2 = 2/7
x = 2/7 + 1/2
x = 4/14 + 7/14
x = 11/14
4/7 × x = 1/3
x = 1/3 : 4/7
x = 1/3 × 7/4
x = 7/12
x : 2/5 = 2/9
x = 2/9 × 2/5
x = 4/45
20 × 7 : ( 5 × x - 3 × 5 ) = 4
140 : 5 × ( x - 3 ) = 4
5 × ( x - 3 ) = 140 : 4
5 × ( x - 3 ) = 35
x - 3 = 35 : 5
x - 3 = 7
x = 7 + 3
x = 10
x - 270 = 420 : 105
x - 270 = 4
x = 4 + 270
x = 274
x - 140 : 35 = 270
x - 4 = 270
x = 270 + 4
x = 274
x + 1/3 = 4/5
x = 4/5 - 1/3
x = 7/15
x - 1/2 = 2/7
x = 2/7 + 1/2
x = 11/14
4/7 * x = 1/3
x = 1/3 : 4/7
x = 7/12
x : 2/5 = 2/9
x = 2/9 * 2/5
x 4 / 45
20 * 7 : ( 5*x - 3 * 5) =4
= 140 :(5*x -3 *5) =4
5*x- 3*5 = 140 : 4
5*x - 3 * 5 = 35
5* x = 35 + 3 * 5
5 * x = 50
x = 50 : 5
x = 10
x - 270 = 402 : 105
x - 270 = 4
x = 270 + 4
x = 274
x- 140 : 35 = 270
x - 4 = 270
x = 270 + 4
x = 274
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
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: \(8\cdot6+288:\left(x-3\right)^2=50\)
\(\Leftrightarrow288:\left(x-3\right)^2=50-48=2\)
\(\Leftrightarrow\left(x-3\right)^2=144\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=12\\x-3=-12\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=15\\x=-9\end{matrix}\right.\)
\(x\cdot1+x\cdot2+x\cdot3=900-420\)
\(x\cdot(1+2+3)=480\)
\(x\cdot6=480\rightarrow x=80\)
X x 1 + X x 2 + X x 3 = 900 - 420
X x ( 1 + 2 + 3 ) = 480
X x 6 = 480
X = 480 : 6
X = 80
\(...\Rightarrow\left[\left(x+20-x\right):1+1\right].\left(x+x+20\right):2=420\)
\(\Rightarrow21.\left(x+x+20\right)=420.2\)
\(\Rightarrow21.\left(2x+20\right)=840\)
\(\Rightarrow\left(x+10\right)=840:\left(21.2\right)\)
\(\Rightarrow x+10=20\)
\(\Rightarrow x=10\)
Đề bài
( = ) ( ( x + 20 - x ) : 1 + 1 ) . ( x + x + 20 ) : 2 = 420
( = ) 21 . ( x + x + 20 ) = 420 . 2
( = ) 21 . ( 2x + 20 ) = 840
( = ) ( x + 10 ) = 840 : ( 21 . 2 )
( = ) x + 10 = 20
( = ) x = 10