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a) 17x + 33x = 100
<=> 50x = 100
<=> x = 2
Vậy x = 2
b) 23x + 15 ( x + 7) = 105
<=> 23x + 15x + 105 = 105
<=> 38x = 0
<=> x = 0
Vậy x = 0
c) 32 (x - 11) + 4x = 152
<=> 32x - 352 + 4x = 152
<=> 36x = 504
<=> x = 14
Vậy x = 14
d) 51 ( 3x + 5) - 406 = 22 (3x +50)
<=> 153x + 255 - 406 = 66x + 1100
<=> 87x = 1251
<=> x = \(\frac{1251}{87}\)
Vậy x = \(\frac{1251}{87}\)
Học tốt nhá :))
Bài làm :
\(a,17x+33x=100\)
\(\left(17+33\right)x=100\)
\(50x=100\)
\(x=2\)
\(b,23x+15\left(x+7\right)=105\)
\(23x+15x+105=105\)
\(38x=0\)
\(x=0\)
\(c,32\left(x-11\right)+4x=152\)
\(32x-352+4x=152\)
\(36x=504\)
\(x=14\)
\(d,51\left(3x+5\right)-406=22\left(3x+50\right)\)
\(153x+255-406=66x+1100\)
\(153x-66x=1100+406-255\)
\(87x=1251\)
\(x=\frac{1251}{87}\)
Học tốt
\(\Rightarrow\frac{x+10}{490}+\frac{x+20}{480}+\frac{x+30}{470}+\frac{x+40}{460}+\frac{x+50}{450}+5=0\)
\(\Rightarrow\frac{x+10}{490}+1+\frac{x+20}{480}+1+\frac{x+30}{470}+1+\frac{x+40}{460}+1+\frac{x+50}{450}+1=0\)
\(\Rightarrow\frac{x+500}{490}+\frac{x+500}{480}+\frac{x+500}{470}+\frac{x+500}{460}+\frac{x+500}{450}=0\)
\(\Rightarrow\left(x+500\right).\left(\frac{1}{490}+\frac{1}{480}+\frac{1}{470}+\frac{1}{460}+\frac{1}{450}\right)=0\Rightarrow x+500=0\Rightarrow x=-500\)
\(x⋮12\)Và \(12\le x< 50\)
\(x⋮12\Rightarrow x\in B\left(12\right)\)
\(\Rightarrow x\in\left\{12;24;36;48\right\}\)
\(\left(x+5\right)⋮\left(x-1\right)\)
\(\Rightarrow x-1+6⋮x-1\)
Vì \(x-1⋮x-1\Rightarrow6⋮x-1\)
\(\Rightarrow x-1\inƯ\left(6\right)\)
\(\Rightarrow x-1\in\left\{1;2;3;6\right\}\)
Ta có các trường hợp
\(x-1=1\Rightarrow x=2\)
\(x-1=2\Rightarrow x=3\)
\(x-1=3\Rightarrow x=4\)
\(x-1=6\Rightarrow x=7\)
\(\Rightarrow x\in\left\{2;3;4;7\right\}\)
a, Theo bài ra ta có :
\(\hept{\begin{cases}x⋮12\\12\le x< 50\end{cases}}\)
Vì \(x⋮12\Rightarrow x\in B\left(12\right)\)
\(B\left(12\right)=\left\{12;24;36;48;60;72;...\right\}\)
Mà \(12\le x< 50\)
\(\Rightarrow x=\left\{12;24;36;48\right\}\)
Dễ.
B(12) = {0;12;24;36;48;60;....}
Mà 20<x<50
Vậy x = {24;36;48}
20 chia hết cho x
Suy ra x thuộc Ư(20) = {1;2;4;5;10;20}
Mà x> 6 nên suy ra x={10;20}
Tick nha?
\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+50\right)=1325\)
\(\Leftrightarrow50x+\left(1+2+3+...+50\right)=1325\)
\(\Leftrightarrow50x+\frac{50.\left(50+1\right)}{2}=1325\)
\(\Leftrightarrow50x+1275=1325\)
\(\Leftrightarrow50x=50\)
\(\Leftrightarrow x=1\)
Vậy x =1
Tính tổng: 1 + 2+ 3 +... +50 = (50 + 1).50 : 2 = 1275
( x +1 ) + ( x + 2 ) + ( x + 3 ) + ... + ( x + 50 ) = 1325
( chú ý vế trái của 50 hạng tử )
( x + x + x +... + x ) + ( 1+ 2 + 3 +...+ 50 ) =1325
50 . x + 1275 =1325
50 . x = 1325 - 1275
50 . x = 50
x = 1
[(x+50).50-50]:50=50
=>(x+5).50-50=50.50
=>(x+5).50-50=2500
=>(x+5).50=2500+50
=>(x+5).50=2550
=>x+5=2550:50
=>x+5=51
=>x=51-5
=>x=46
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