đề bài : TÌM X
3/2 x + 3/4=4/5-x
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X + 1/2 = 4 1/2 + 2,7 1 3/4 + X = 5 + 7/8
X + 1/2 = 7,2 1 3/4 + X = 5,875
X = 7,2 + 1/2 X = 5,875 - 1 3/4
X = 7,7 X = 4,125
\(a,[(2\cdot x-11):3+1]\cdot5=20\\\Rightarrow (2x-11):3+1=20:5\\\Rightarrow (2x-11):3+1=4\\\Rightarrow (2x-11):3=4-1\\\Rightarrow (2x-11):3=3\\\Rightarrow2x-11=3\cdot3\\\Rightarrow2x-11=9\\\Rightarrow2x=9+11\\\Rightarrow2x=20\\\Rightarrow x=20:2=10\)
\(b,(25-2x)^3:5-3^2=4^2\\\Rightarrow(25-2x)^3:5-9=16\\\Rightarrow(25-2x)^3:5=16+9\\\Rightarrow(25-2x)^3:5=25\\\Rightarrow(25-2x)^3=25\cdot5\\\Rightarrow(25-2x)^3=125\\\Rightarrow(25-2x)^3=5^3\\\Rightarrow25-2x=5\\\Rightarrow2x=25-5\\\Rightarrow2x=20\\\Rightarrow x=20:2=10\\Toru\)
|2.x+4|=6
TH1: 2.x+4 = 6
x = 1
TH2: 2.x+4 = - 6
x = -5
Vậy x thuộc 1 và -5
|2-3.x|=5
Th1: 2-3.x=5
x = -1
Th2: 2-3.x= -5
x = 7/3
Vậy x thuộc -1 và 7/3
|7-x|=9
TH1: 7-x =9
x = -2
TH2: 7-x = -9
x = 16
Vậy.........
a) Ta có: \(\left|2x+4\right|=6\)
\(\Leftrightarrow\left[{}\begin{matrix}2x+4=6\\2x+4=-6\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=6-4=2\\2x=-6-4=-10\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-5\end{matrix}\right.\)
Vậy: \(x\in\left\{1;-5\right\}\)
b) Ta có: \(\left|2-3x\right|=5\)
\(\Leftrightarrow\left[{}\begin{matrix}2-3x=5\\2-3x=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-3x=3\\-3x=-7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=\dfrac{7}{3}\end{matrix}\right.\)
Vậy: \(x\in\left\{-1;\dfrac{7}{3}\right\}\)
c) Ta có: \(\left|7-x\right|=9\)
\(\Leftrightarrow\left[{}\begin{matrix}7-x=9\\7-x=-9\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-x=2\\-x=-16\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=16\end{matrix}\right.\)
Vậy: \(x\in\left\{-2;16\right\}\)
70 - 5(x - 3) = 45
5(x - 3) = 45 - 70
5(x - 3) = -25
x - 3 = (-25) : (-5)
x - 3 = 5
x = 5 + 3
x = 8
Trả lời
1)70-5.(x-3)=45
5.(x-3)=70-45
5.(x-3)=25
x-3 =25:5
x-3 =5
x =5+3
x =8.
2)123-5(x+4)=38
5(x+4)=123-38
5(x+4)=85
x+4 =85:5
x+4 =17
x =17-4
x =13.
3)(3x-24).73=2.74
3x-24 =2.74:73
3x-16 =2.7=14(bước này mk rút gọn nhé)
3x =14+16
3x =30
x =30:3
x =10.
Để mk làm tiếp câu cuối nhé !
\(a,2\dfrac{2}{5}:y\times1\dfrac{3}{4}=\dfrac{7}{8}\\ \dfrac{12}{5}:y\times\dfrac{7}{4}=\dfrac{7}{8}\\ \dfrac{12}{5}:y=\dfrac{7}{8}:\dfrac{7}{4}\\ \dfrac{12}{5}:y=\dfrac{1}{2}\\ y=\dfrac{12}{5}:\dfrac{1}{2}=\dfrac{24}{5}\\ b,3\dfrac{2}{5}:y:1\dfrac{1}{4}=2\dfrac{3}{5}\\ \dfrac{17}{5}:y:\dfrac{5}{4}=\dfrac{13}{5}\\ y:\dfrac{5}{4}=\dfrac{17}{5}:\dfrac{13}{5}\\ y:\dfrac{5}{4}=\dfrac{17}{13}\\ y=\dfrac{17}{13}\times\dfrac{5}{4}=\dfrac{85}{52}\)
\(c,\dfrac{12}{5}-2\dfrac{2}{5}\times y=1\dfrac{1}{4}\\ \dfrac{12}{5}-\dfrac{12}{5}\times y=\dfrac{5}{4}\\ \dfrac{12}{5}\times y=\dfrac{12}{5}-\dfrac{5}{4}\\ \dfrac{12}{5}\times y=\dfrac{23}{20}\\ y=\dfrac{23}{20}:\dfrac{12}{5}\\ y=\dfrac{23}{48}\)
\(2\dfrac{2}{5}-y:2\dfrac{3}{4}=1\dfrac{1}{2}\\ \dfrac{12}{5}-y:\dfrac{11}{4}=\dfrac{3}{2}\\ y:\dfrac{11}{4}=\dfrac{12}{5}-\dfrac{3}{2}\\ y:\dfrac{11}{4}=\dfrac{9}{10}\\ y=\dfrac{9}{10}\times\dfrac{11}{4}=\dfrac{99}{40}\\ b,1\dfrac{1}{4}+2\dfrac{1}{5}\times y=2\dfrac{3}{5}\\ \dfrac{5}{4}+\dfrac{11}{5}\times y=\dfrac{13}{5}\\ \dfrac{11}{5}\times y=\dfrac{13}{5}-\dfrac{5}{4}\\ \dfrac{11}{5}\times y=\dfrac{27}{20}\\ y=\dfrac{27}{20}:\dfrac{11}{5}=\dfrac{27}{44}\)
\(c,2\dfrac{4}{5}-2\dfrac{1}{4}:y=\dfrac{3}{4}\\ \dfrac{14}{5}-\dfrac{9}{4}:y=\dfrac{3}{4}\\ \dfrac{9}{4}:y=\dfrac{14}{5}-\dfrac{3}{4}\\ \dfrac{9}{4}:y=\dfrac{41}{20}\\ y=\dfrac{9}{4}:\dfrac{41}{20}=\dfrac{45}{41}\\ c2,x:3\dfrac{1}{3}=2\dfrac{2}{5}+\dfrac{7}{10}\\ x:\dfrac{10}{3}=\dfrac{12}{5}+\dfrac{7}{10}\\ x:\dfrac{10}{3}=\dfrac{31}{10}\\ x=\dfrac{31}{10}\times\dfrac{10}{3}=\dfrac{31}{3}\)
bài 1 : a,ta có 3/x-1 =4/y-2=5/z-3 => x-1/3=y-2/4=z-3/5
áp dụng .... => x-1+y-2+z-3 / 3+4+5 = x+y+z-1-2-3/3+4+5 = 12/12=1
do x-1/3 = 1 => x-1 = 3 => x= 4 ( tìm y,z tương tự
Bài 1:
a) Ta có: 3/x - 1 = 4/y - 2 = 5/z - 3 => x - 1/3 = y - 2/4 = z - 3/5 áp dụng ... =>x - 1 + y - 2 + z - 3/3 + 4 + 5 = x + y + z - 1 - 2 - 3/3 + 4 + 5 = 12/12 = 1 do x - 1/3 = 1 => x - 1 = 3 => x = 4 ( tìm y, z tương tự )
\(\left(x-1\right)^2=\left(x-1\right)^4\)
\(\left(x-1\right)^2-\left(x-1\right)^4=0\)
\(\left(x-1\right)^2-\left(x-1\right)^2\left(x-1\right)^2=0\)
\(\left(x-1\right)^2\left[1-\left(x-1\right)^2\right]=0\)
\(\left(x-1\right)^2\left(1-x+1\right)\left(1+x-1\right)=0\)
\(\left(x-1\right)^2\left(2-x\right)x=0\)
\(\Rightarrow\left(x-1\right)^2=0\)hoac \(\Rightarrow\orbr{\begin{cases}x=0\\2-x=0\end{cases}}\)
\(\Rightarrow x-1=0\) hoac \(\Rightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}\)
\(\Rightarrow x=1\)hoac \(\orbr{\begin{cases}x=0\\x=2\end{cases}}\)
\(\left(x-5\right)^3=\left(x-5\right)^{15}\)
\(\left(x-5\right)^3-\left(x-5\right)^{15}=0\)
\(\left(x-5\right)^3-\left(x-5\right)^3\left(x-5\right)^{12}=0\)
\(\left(x-5\right)^3\left[1-\left(x-5\right)^{12}\right]=0\)
\(\dfrac{3}{2}x+\dfrac{3}{4}=\dfrac{4}{5}-x\\ \Rightarrow\dfrac{3}{2}x+x=\dfrac{4}{5}-\dfrac{3}{4}\\ \Rightarrow\dfrac{5}{2}x=\dfrac{1}{20}\\ \Rightarrow x=\dfrac{1}{20}:\dfrac{5}{2}\\ \Rightarrow x=\dfrac{1}{50}\)
\(\dfrac{3}{2}x+\dfrac{3}{4}=\dfrac{4}{5}-x\)
\(\dfrac{3}{2}x+x=\dfrac{4}{5}-\dfrac{3}{4}\)
\(x\left(\dfrac{3}{2}+1\right)=\dfrac{16}{20}-\dfrac{15}{20}\)
\(x\left(\dfrac{3}{2}+\dfrac{2}{2}\right)=\dfrac{1}{20}\)
\(x.\dfrac{5}{2}=\dfrac{1}{20}\)
\(x=\dfrac{1}{20}:\dfrac{5}{2}\)
\(x=\dfrac{1}{20}.\dfrac{2}{5}\)
\(x=\dfrac{1.1}{10.5}\)
\(x=\dfrac{1}{50}\)
Vậy ....