123455677455+5266513 - 123564 x 435672
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2:
a: 27(x-45)=0
=>x-45=0
=>x=45
b: (x-47)-115=0
=>x-47=115
=>x=162
d: x-105:21=15
=>x-5=15
=>x=20
1:
a: =35*(34+86)+65*(75+45)
=120*35+120*65
=120*100=12000
b: \(=39\left(53+47\right)-21\left(53+47\right)\)
=18*100=1800
a)\(\dfrac{24}{36}\)=\(\dfrac{8}{12}\)
b)\(\dfrac{14}{56}\)=\(\dfrac{1}{4}\)
c)\(\dfrac{9}{24}\)=\(\dfrac{21}{56}\)
Chúc bạn học tốt!
Ta có:
\(x^3+x^2-4x=4\)
\(\Rightarrow x^3+x^2-4x-4=0\)
\(\Rightarrow\left(x^3+x^2\right)-\left(4x+4\right)=0\)
\(\Rightarrow x^2\left(x+1\right)-4\left(x+1\right)=0\)
\(\Rightarrow\left(x^2-4\right)\left(x+1\right)=0\)
\(\Rightarrow\left(x-2\right)\left(x+2\right)\left(x+1\right)=0\)
\(\Rightarrow x-2=0;x+2=0;x+1=0\)
\(\Rightarrow x\in\left\{2;-2;-1\right\}\)
a)\(2.\left(x+5\right)-x^2-5x=0\)
\(\Leftrightarrow2\left(x+5\right)-x\left(x+5\right)=0\)
\(\Leftrightarrow\left(x+5\right).\left(2-x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+5=0\\2-x=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-5\\x=2\end{cases}}\)
b)\(3x^3-48x=0\)
\(\Leftrightarrow3x\left(x^2-16\right)=0\)
\(\Leftrightarrow3x.\left(x-4\right).\left(x+4\right)=0\)
\(\Leftrightarrow\orbr{\frac{x=4}{\frac{x=0}{x=-4}}}\)
c)\(x^3+x^2-4x=4\)
\(\Leftrightarrow x^2\left(x+1\right)-4\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x^2-4\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x-2\right)\left(x+2\right)\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{x=0}{x=2}\\\overline{x=-2}\end{cases}}\)
\(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+.......+\dfrac{1}{x\cdot\left(x+1\right)}=\dfrac{122}{123}\)
\(\Leftrightarrow1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+......+\dfrac{1}{x}-\dfrac{1}{x+1}=\dfrac{122}{123}\)
\(\Leftrightarrow1-\dfrac{1}{x+1}=\dfrac{122}{123}\)
\(\Leftrightarrow\dfrac{1}{x+1}=\dfrac{1}{123}\)
\(\Leftrightarrow x=122\)
34×x-25×x+x×1=8600
(34-25+1)×x =8600
10×x=8600
X=8600÷10
X=860
34.x+25.x+1.x=8600
x.(34+25+1) = 8600
x.100 = 8600
x = 8600:100
x = 86
Vì `|x+2|+|x+2/5|+|x+1/2|>=0`
`=>4x>=0`
`=>x>=0`
`=>|x+2|=x+2,|x+2/5|=x+2/5,|x+1/2|=x+1/2`
`=>x+2+x+2/5+x+1/2=4x`
`=>3x+5/2+2/5=4x`
`=>4x-3x=5/2+2/5=29/10`
`=>x=29/10(tmđk)`
Vậy `x=29/10`
Giải:
Vì \(\left|x+2\right|+\left|x+\dfrac{2}{5}\right|+\left|x+\dfrac{1}{2}\right|\ge0\) nên ta có:
\(\left|x+2\right|+\left|x+\dfrac{2}{5}\right|+\left|x+\dfrac{1}{2}\right|=4x\)
\(\left(x+2\right)+\left(x+\dfrac{2}{5}\right)+\left(x+\dfrac{1}{2}\right)=4x\)
\(x+2+x+\dfrac{2}{5}+x+\dfrac{1}{2}=4x\)
\(\left(x+x+x\right)+\left(2+\dfrac{2}{5}+\dfrac{1}{2}\right)=4x\)
\(3x+\dfrac{29}{10}=4x\)
\(3x-4x=-\dfrac{29}{10}\)
\(-1x=-\dfrac{29}{10}\)
\(x=-\dfrac{29}{10}:-1\)
\(x=\dfrac{29}{10}\)
a) 2(x-1)+3(x-3)=-2 b) x-1/3=x-2/2
2x-2+3x-9=-2 2 (x-1)=3(x-2)
(2x+3x)+(-2-9)=-2 2x-2=3x-6
5x+(-11)=-2 2x-3x=-6+2
5x=-2+11 -1x=-4
5x=9 x=4
x=1,8
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