Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) 2.(x-5) - 3.(x+7) = 14
2.x - 10 - 3.x - 21 = 14
2.x - 3.x - (10+21) = 14
-x - 31 = 14
-x = 45
x = -45
phần b bn cx lm tương tự như phần a nha!
c) 5- (x+7) = 4
5 - x - 7 = 4
5-7 -x = 4
-2 -x = 4
x = -6
câu d lm giống câu c
a) 2.(x-5) - 3.(x+7) = 14
2.x - 10 - 3.x - 21 = 14
2.x - 3.x - (10+21) = 14
-x - 31 = 14
-x = 45
x = -45
Lời giải:
a) \(12\vdots x+1\Rightarrow x+1\in \text{Ư}(12)\)
Mà \(x\in\mathbb{N}\Rightarrow x+1\in\mathbb{N}\). Do đó \(x+1\in \left\{1; 2;3;4;6;12\right\}\)
\(\Rightarrow x\in \left\{0; 1;2;3;5;11\right\}\)
b)
\(x+5\vdots x+1\)
\(\Rightarrow (x+1)+4\vdots x+1\)
\(\Rightarrow 4\vdots x+1\Rightarrow x+1\in \text{Ư}(4)\). Mà \(x\in \mathbb{N}\Rightarrow x+1\in \mathbb{N}\)
Do đó: \(x+1\in \left\{1;2;4\right\}\)
\(\Rightarrow x\in \left\{0; 1;3\right\}\)
a) \(\left(x-1\right):3=2^3\) \(\Leftrightarrow\) \(\left(x-1\right):3=8\) \(x+1=24\) \(\Leftrightarrow\) \(x=23\) vậy \(x=23\)
b) \(12-2\left(x+5\right)=-10\) \(\Leftrightarrow\) \(12-2x-10=-10\)
\(\Leftrightarrow\) \(-2x=-12\) \(\Leftrightarrow\) \(x=6\) vậy \(x=6\)
c) \(x-12\left(x+5\right)=-10\) \(\Leftrightarrow\) \(x-12x-60=-10\)
\(\Leftrightarrow\) \(-11x=50\) \(\Leftrightarrow\) \(x=\dfrac{50}{-11}\) vậy \(x=\dfrac{50}{-11}\)
e) \(13-x:2=10\Leftrightarrow-x:2=-3\Leftrightarrow x=\dfrac{3}{2}\)
f) \(\left|12-x\right|-7=5\)
th1 : \(x\le12\) thì \(\left|12-x\right|-7=5\) \(\Leftrightarrow\) \(12-x-7=5\) \(\Leftrightarrow\) \(-x=0\Leftrightarrow x=0\)
th2 : \(x>12\) thì \(\left|12-x\right|-7=5\) \(\Leftrightarrow\) \(x-12-7=5\) \(\Leftrightarrow\) \(x=24\) vậy \(x=0;x=24\)
i) \(x^2-7=2\Leftrightarrow x^2=9\Leftrightarrow x=3\) vậy \(x=3\)
k) \(x^3-4=-12\) \(\Leftrightarrow\) \(x^3=-8\) \(\Leftrightarrow x=-2\) vậy \(x=-2\)
a)\(\left(x-1\right):3=2^3\Rightarrow x-1=2^3.3=24\Rightarrow x=25\)
b)\(12-2\left(x+5\right)=-10\Leftrightarrow12-2x-10=-10\Rightarrow2-2x=-10\Rightarrow2x=12\Rightarrow x=6\)c)\(x-12\left(x+5\right)=-10\Rightarrow x-12x-60=-10\Rightarrow-11x-60=-10\Rightarrow-11x=-70\Rightarrow x=\dfrac{70}{-11}\)d)\(6-\left|x\right|=5\Rightarrow\left|x\right|=1\Rightarrow x=\left\{\pm1\right\}\)
Làm nốt nha
a)\(10\left(x-7\right)-8\left(x+5\right)=6\cdot\left(-5\right)+24\)
\(10x-10\cdot7-8x-8\cdot5=\left(-30\right)+24\)
\(10x-70-8x-40=-6\)
\(10x-8x=\left(-6\right)+70+40\)
\(2x=104\)
\(x=104\div2\)
\(x=52\)
b)\(2\left(4x-8\right)-7\left(3+x\right)=6\)
\(2\cdot4x-2\cdot8-7\cdot3-7x=6\)
\(8x-16-21-7x=6\)
\(8x-7x=6+16+21\)
\(x=43\)
a) 80 \(⋮\)x
=> x \(\inƯ\left(80\right)=\left\{1;2;4;5;8;10;16;20;40;80\right\}\)
Mà x > 20 nên \(x\notin\left\{1;2;4;5;8;10;16;20\right\}\)
Vậy \(x\in\left\{40;80\right\}\)
b) \(x\inƯ\left(100\right)=\left\{1;2;5;10;20;25;50;100\right\}\)
Mà 5 < x < 20 => \(x\notin\left\{1;2;5;20;25;50;100\right\}\)
Vậy x = 10
c) \(x⋮17\)=> x \(\in\)B(17) = { \(0;17;34;51;...\)}
Mà 10 < x < 30 => \(x\notin\left\{0;34;51;...\right\}\)
=> x = 17
d) \(x\inƯ\left(45\right)\)
=> \(x\in\left\{1;3;5;9;15;45\right\}\)
Mà x > 5 => x \(\notin\left\{1;3;5\right\}\)
Vậy \(x\in\left\{9;15;45\right\}\)
e) \(x\in B\left(15\right)=\left\{0;15;30;45;60;75;90;...;195;210...\right\}\)
Mà \(100\le x\le200\)=> \(x\notin\left\{0;15;30;...;90\right\}\)
Vậy \(x\in\left\{105;120;135;150;165;180;195\right\}\)
Còn câu j tự làm
a) \(2\left(x-7\right)-x=12\)
\(\Rightarrow2x-14-x=12\)
\(\Rightarrow\left(2x-x\right)-14=12\)
\(\Rightarrow x-14=12\)
\(\Rightarrow x=12+14\)
\(\Rightarrow x=26\)
Vậy x = 26
b) \(7\times x-5\times x-x=10\)
\(\Rightarrow\left(7-5-1\right)\times x=10\)
\(\Rightarrow x=10\)
Vậy x = 10
_Chúc bạn học tốt_