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a) \(234+\left(345-x\right)=500\)
\(345-x=500-234\)
\(345-x=266\)
\(x=79\)
vay \(x=79\)
b) \(456-\left(x+23\right)=326\)
\(x+23=456-326\)
\(x+23=130\)
\(x=107\)
vay \(x=107\)
c) \(\left(5x-15\right):5=0\)
\(5x-15=0\)
\(5x=15\)
\(x=3\)
vay \(x=3\)
d) \(84-4\left(2x+1\right)=48\)
\(8x+4=84-48\)
\(8x+4=36\)
\(8x=32\)
\(x=4\)
vay \(x=4\)
e) \(\left(x-76\right).54=0\)
\(x-76=0\)
\(x=76\)
vay \(x=76\)
f) \(\left(x-3\right)\left(x+4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\x+4=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
vay \(\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
g) \(\left(x-6\right)\left(x-7\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-6=0\\x-7=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=6\\x=7\end{cases}}\)
vay \(\orbr{\begin{cases}x=6\\x=7\end{cases}}\)
h) \(\left(x-2\right)\left(x-3\right)\left(x-5\right)=0\)
\(\Rightarrow x-2=0\Rightarrow x=2\)hoac \(\orbr{\begin{cases}x-3=0\\x-5=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=3\\x=5\end{cases}}\)
vay \(x=2\)hoac \(\orbr{\begin{cases}x=3\\x=5\end{cases}}\)
a) 7x - 5 = 16 b) 156 - 2x = 82 c) 10x + 65 = 125
=> 7x = 16 + 5 => 2x = 156 - 82 => 10x = 125 - 65
=> 7x = 21 => 2x = 74 => 10x = 60
=> x = 21 : 7 => x = 74 : 2 => x = 60 : 10
=> x = 3 => x = 37 => x = 6
Vậy x = 3 Vậy x = 37 Vậy x = 6
d) 8x + 2x = 25.2 e) 15 + 5x = 40 f) 5x + 2x = 6 - 5
=> 10x = 50 => 5x = 40 - 15 => 7x = 1
=> x = 50 : 10 => 5x = 25 => x = 1 : 7
=> x = 5 => x = 25 : 5 => x = 1/7
Vậy x = 5 => x = 5 Vậy x = 1/7
Vậy x = 5
g) 5x + x = 150 : 2 + 3 h) 6x + 3x = 5 : 5 + 3 i) 5x + 3x = 3 : 3 . 4 + 12
=> 6x = 75 + 3 => 9x = 1 + 3 => 8x = 1 . 4 + 12
=> 6x = 78 => 9x = 4 => 8x = 4 + 12
=> x = 78 : 6 => x = 4 : 9 => 8x = 16
=> x = 13 => x = 4/9 => x = 16 : 8
Vậy x = 13 Vậy x = 4/9 => x = 2
Vậy x = 2
j) 4x + 2x = 68 - 2 : 2 k) 5x + x = 39 - 3 : 3 l) 7x - x = 5 : 5 + 3 . 2 - 7
=> 6x = 68 - 1 => 6x = 39 - 1 => 6x = 1 + 6 - 7
=> 6x = 67 => 6x = 38 => 6x = 7 - 7
=> x = 67 : 6 => x = 38 : 6 => 6x = 0
=> x = 67/6 => x = 19/3 => x = 0
Vậy x = 67/6 Vậy x = 19/3 Vậy x = 0
m) 7x - 2x = 6 : 6 + 44 : 11
=> 5x = 1 + 4
=> 5x = 5
=> x = 5 : 5
=> x = 1
Vậy x = 1
Mỏi tay ~~~~~~~~~~~~~~
đây bạn
a. x=0
b.x=1,7
c.x=5,3
G.X=7
h.x=6
Mk làm vậy thôi
hok tốt
Professor minhmama
a;\(x\left(x+0\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x+0=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=0\end{cases}}}\)
\(b,\left(x-1\right)\left(7-x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\7-x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=1\\x=7\end{cases}}}\)
\(c,\left(-x+5\right)\left(3-x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}-x+5=0\\3-x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\\x=3\end{cases}}}\)
\(d,\left(x+5\right)+\left(x-9\right)=13\)
\(\Rightarrow x+5+x-9=13\)
\(\Rightarrow2x=17\)
\(\Rightarrow x=\frac{17}{2}\)
\(e;\left(4+x\right)+\left(x-7\right)=x+2\)
\(\Rightarrow4+x+x-7=x+2\)
\(\Rightarrow x=5\)
\(f,\left(3x+5\right)-\left(2x-7\right)=4-x\)
\(\Rightarrow3x+5-2x+7=4-x\)
\(\Rightarrow2x=-8\Rightarrow x=-4\)
\(g,\left(x-1\right)^2=36\)
\(\Rightarrow\left(x-1\right)^2=\left(\pm6\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=6\\x-1=-6\end{cases}\Leftrightarrow\orbr{\begin{cases}x=7\\x=5\end{cases}}}\)
\(h,\left(3-x\right)^3=-27\)
\(\Rightarrow\left(3-x\right)^3=\left(-3\right)^3\)
\(\Rightarrow3-x=-3\)
\(\Rightarrow x=6\)
các bn lm đến đâu cx dc miễn là lm hộ mk cái ạ, ai đang lm vào nhắn tin vs mk để mk bít nha
a; \(-\dfrac{8}{3}+\dfrac{7}{5}-\dfrac{71}{15}< x< -\dfrac{13}{7}+\dfrac{19}{14}-\dfrac{7}{2}\)
-\(\dfrac{19}{15}\) - \(\dfrac{71}{15}\) < \(x\) < -\(\dfrac{1}{2}\) - \(\dfrac{7}{2}\)
-6 < \(x\) < -4
vì \(x\) \(\in\) Z nên \(x\) = -5
a.
\(\left|x+10\right|=15\Rightarrow\orbr{\begin{cases}x+10=15\\x+10=-15\end{cases}\Rightarrow\orbr{\begin{cases}x=5\\x=-25\end{cases}}}\)
b.
\(\left|x-3\right|+5=7\Rightarrow\left|x-3\right|=2\Rightarrow\orbr{\begin{cases}x-3=2\\x-3=-2\end{cases}}\Rightarrow\orbr{\begin{cases}x=5\\x=1\end{cases}}\)
c.
\(\left|x-3\right|+12=6\Rightarrow\left|x-3\right|=-6\Rightarrow x=\Phi\)
Phương trình vô nghiệm
d.
\(\left(2x+4\right)\left(3x-9\right)=0\Rightarrow\orbr{\begin{cases}2x+4=0\\3x-9=0\end{cases}\Rightarrow}\orbr{\begin{cases}2x=-4\\3x=9\end{cases}}\Rightarrow\orbr{\begin{cases}x=-2\\x=3\end{cases}}\)
e.
\(x^2-5x=0\Rightarrow x\left(x-5\right)=0\Rightarrow\orbr{\begin{cases}x=0\\x-5=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=0\\x=5\end{cases}}\)
f.
\(\left(x+3\right)\left(4-2x\right)=70\Rightarrow4x-2x^2+7-6x=70\Rightarrow2x^2+2x+63=0\Rightarrow2\left(x+\frac{1}{2}\right)^2+\frac{123}{2}=0\)(vô lí)
Vậy phương trình vô nghiệm
a) \(\dfrac{x}{5}+\dfrac{1}{2}=\dfrac{6}{10}\\ \dfrac{x}{5}+\dfrac{1}{2}=\dfrac{3}{5}\\ \dfrac{x}{5}=\dfrac{3}{5}-\dfrac{1}{2}\\ \dfrac{x}{5}=\dfrac{6}{10}-\dfrac{5}{10}\\ \dfrac{x}{5}=\dfrac{1}{10}\\ \dfrac{2x}{10}=\dfrac{1}{10}\\ \Rightarrow2x=1\\ x=1:2\\ x=0,5=\dfrac{1}{2}\)
b) \(x+\dfrac{3}{15}=\dfrac{1}{3}\\ x=\dfrac{1}{3}-\dfrac{3}{15}\\ x=\dfrac{5}{15}-\dfrac{3}{15}\\ x=\dfrac{2}{15}\)
c) \(x-\dfrac{12}{4}=\dfrac{1}{2}\\ x-3=\dfrac{1}{2}\\ x=\dfrac{1}{2}+3\\ x=\dfrac{1}{2}+\dfrac{6}{2}\\ x=\dfrac{7}{2}\)
d) \(\dfrac{1}{2}x+\dfrac{1}{2}=\dfrac{5}{2}\\ \dfrac{1}{2}x=\dfrac{5}{2}-\dfrac{1}{2}\\ \dfrac{1}{2}x=2\\ x=2:\dfrac{1}{2}\\ x=4\)
a. \(\dfrac{2x+5}{10}=\dfrac{6}{10}\Leftrightarrow2x=1\Leftrightarrow x=\dfrac{1}{2}\)
b. \(\dfrac{15x+3}{15}=\dfrac{5}{15}\Leftrightarrow15x=2\Leftrightarrow x=\dfrac{2}{15}\)
c. \(\dfrac{4x-12}{4}=\dfrac{2}{4}\Leftrightarrow4x=14\Leftrightarrow x=\dfrac{7}{2}\)
d. \(\dfrac{1+x}{2x}=\dfrac{5x}{2x}\Leftrightarrow-4x=-1\Leftrightarrow x=\dfrac{1}{4}\)
e. \(\dfrac{-4\left(2x-5\right)}{6\left(2x-5\right)}-\dfrac{2}{6\left(2x-5\right)}=\dfrac{9\left(2x-5\right)}{6\left(2x-5\right)}\)
\(\Leftrightarrow-8x+20-2=18x-45\)
\(\Leftrightarrow-26x=-63\Leftrightarrow x=\dfrac{63}{26}\)
\(5-\left|2+x\right|=\left|-3\right|\)
\(\Leftrightarrow5-\left|2+x\right|=3\)
\(\Leftrightarrow\left|2+x\right|=5-3\)
\(\Leftrightarrow\left|2+x\right|=2\)
\(\Leftrightarrow\orbr{\begin{cases}2+x=-2\\2+x=2\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-4\\x=0\end{cases}}\)
\(\left(x+1\right)\left(x-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+1=0\\x-3=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=3\end{cases}}\)
\(\left|x-3\right|-2=5\)
\(\Leftrightarrow\left|x-3\right|=7\)
\(\Leftrightarrow\orbr{\begin{cases}x=10\\x=-4\end{cases}}\)
\(x-15=6+4x\)
\(\Leftrightarrow-3x=21\)
\(\Leftrightarrow x=-7\)
e,
x-15=6+4x
x=6+4x+15
x-4x=6+15
-3x=21
x=21:(-3)
x=-7
Vậy x=-7
f,
|x-3|-2=5
|x-3|=5+2
|x-3|=7
=> x-3=7 hoặc x-3=-7
nếu x-3=7=>x=7+3=10
nếu x-3=-7=>x=-7+3=-4
Vậy x=10 hoặcx=-4
g,
5-|2+x|=3
|2+x|=5-3=8
=>2+x=8 hoặc -8
nếu 2+x=8=>x=8-2=6
nếu 2+x=-8=>x=-8-2=-10
Vậy x=6 hoặc x=-10