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Bài 6:
\(21,251+6,058+0,749+1,042\)
\(=\left(21,251+0,749\right)+\left(6,058+1,042\right)\)
\(=22+7,1\)
\(=29,1\)
___________________
\(1,53+5,309+12,47+5,691\)
\(=\left(1,53+12,47\right)+\left(5,309+5,691\right)\)
\(=14+11\)
\(=25\)
5:
a: =>x/17=5/17
=>x=5
b; =>6+x=7/11*33=21
=>x=15
c: \(\dfrac{12+x}{43-x}=\dfrac{2}{3}\)
=>3x+36=86-2x
=>5x=50
=>x=10
d: \(\dfrac{x}{5}< \dfrac{3}{7}\)
=>x<3/7*5
=>x<15/7
f: 15/26+x/16=46/52
=>x/16=23/26-15/26=8/26=4/13
=>x=4/13*16=64/13
Câu 1:
\(a,=43\cdot\left(27+93\right)+3111+3363=43\cdot120+6474=11634\\ b,=11^2+2^{15}\cdot2^3:2^{17}=121+2=123\\ c,=11^2+7^2-9=121+49-9=151\)
Câu 2:
\(a,\Rightarrow x-\dfrac{3}{2}=5^2=25\\ \Rightarrow x=25+\dfrac{3}{2}=\dfrac{53}{2}\\ b,\Rightarrow7x=30-2=28\\ \Rightarrow x=4\)
b, \(\left(x^2+2015\right).\left(x-2016\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x^2+2015=0\\x-2016=0\end{cases}}\)\(\Leftrightarrow\orbr{\begin{cases}x^2==-2015\\x=2016\end{cases}}\)( \(x^2=-2015\)loại do \(x^2\ge0\))
Vậy x= 2016
a, \(xy+3x-7y=21\)
\(\Leftrightarrow x.\left(y+3\right)-7y-21=0\)
\(\Leftrightarrow x.\left(y+3\right)-7.\left(y+3\right)=0\)
\(\Leftrightarrow\left(y+3\right).\left(x-7\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}\hept{\begin{cases}y+3=0\\x-7\in Z\end{cases}}\\\hept{\begin{cases}x-7=0\\y+3\in Z\end{cases}}\end{cases}}\Leftrightarrow\orbr{\begin{cases}\hept{\begin{cases}y=-3\\x-7\in Z\end{cases}}\\\hept{\begin{cases}x=7\\y+3\in Z\end{cases}}\end{cases}}\)\(\orbr{\begin{cases}\hept{\begin{cases}y+3=0\\x-7\in Z\end{cases}}\\\hept{\begin{cases}x-7=0\\y+3\in Z\end{cases}}\end{cases}}\Leftrightarrow\orbr{\begin{cases}\hept{\begin{cases}y=-7\\x-7\in Z\end{cases}}\\\hept{\begin{cases}x=7\\y+3\in Z\end{cases}}\end{cases}}\)\(\Leftrightarrow\orbr{\begin{cases}\hept{\begin{cases}y+3=0\\x-7\in Z\end{cases}}\\\hept{\begin{cases}x-7=0\\y+3\in Z\end{cases}}\end{cases}}\Leftrightarrow\orbr{\begin{cases}\hept{\begin{cases}y=-3\\x-7\in Z\end{cases}}\\\hept{\begin{cases}x=7\\y+3\in Z\end{cases}}\end{cases}}\)
a, xy + 3x - 7y = 21
=> x(y + 3) - 7y - 21 = 21 - 21
=> x(y + 3) - (7y + 21) = 0
=> x(y + 3) - 7(y + 3) = 0
=> (x - 7)(y + 3) = 0
=> \(\orbr{\begin{cases}x-7=0\\x+3=0\end{cases}\Rightarrow\orbr{\begin{cases}x=7\\x=-3\end{cases}}}\)
Vậy x = {7;-3}
b, (x2 + 2015)(x - 2016) = 0
\(\Rightarrow\orbr{\begin{cases}x^2+2015=0\\x-2016=0\end{cases}\Rightarrow\orbr{\begin{cases}x^2=2015\left(loại\right)\\x=2016\end{cases}}}\)
Vậy x = 2016
a) 100-(x+21) = 25 b) 55-3x = 59 : 57 c) 43 - 2.(x-21) = 62
x+21 = 100-25 55-3x = 52 64 - 2.(x-21) = 36
x+21 = 75 55-3x = 25 2.(x-21) = 64-36
x = 75-21 3x = 55-25 2.(x-21) = 28
x = 54 3x = 30 x-21 = 28 : 2
x = 30 : 3 x-21 = 14
x = 10 x = 14+21
x = 35
Câu d chưa nghĩ ra,hì hì!
a) 100-(X+21)=25
x+21=25+100
x+21=125
x=125-21
x=104
b) 55-3x=5^9:5^7
55-3x=5^2
55-3x=25
3x=55-25
3x=30
x=30:3
x=10
c) 4^3-2.(x-21)=6^2
4^3-2.(x-21)=36
64-2.(x-21)=36
2.(x-21)=64-36
2.(x-21)=28
x-21=28:2
x-21=14
x=14+21
x=35
Xin lỗi bn mk chỉ giải đc vậy thôi xin thông cảm nha