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d) Ta có: \(32\%-0.25:x=-\dfrac{17}{5}\)
\(\Leftrightarrow0.25:x=\dfrac{8}{25}+\dfrac{17}{5}=\dfrac{93}{25}\)
hay \(x=\dfrac{25}{372}\)
Vậy: \(x=\dfrac{25}{372}\)
e) Ta có: \(\left(x+\dfrac{1}{5}\right)^2+\dfrac{17}{25}=\dfrac{26}{25}\)
\(\Leftrightarrow\left(x+\dfrac{1}{5}\right)^2=\dfrac{9}{25}\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{5}=\dfrac{3}{5}\\x+\dfrac{1}{5}=-\dfrac{3}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{5}\\x=-\dfrac{4}{5}\end{matrix}\right.\)
Vậy: \(x\in\left\{\dfrac{2}{5};-\dfrac{4}{5}\right\}\)
f) Ta có: \(-\dfrac{32}{27}-\left(3x-\dfrac{7}{9}\right)^3=-\dfrac{24}{27}\)
\(\Leftrightarrow\left(3x-\dfrac{7}{9}\right)^3=\dfrac{-8}{27}\)
\(\Leftrightarrow3x-\dfrac{7}{9}=-\dfrac{2}{3}\)
\(\Leftrightarrow3x=\dfrac{1}{9}\)
hay \(x=\dfrac{1}{27}\)
g) Ta có: \(60\%\cdot x+0.4x+x:3=2\)
\(\Leftrightarrow\dfrac{4}{3}x=2\)
hay \(x=\dfrac{3}{2}\)
Vậy: \(x=\dfrac{3}{2}\)
h) PT \(\Leftrightarrow\left|\dfrac{20}{9}-x\right|=\dfrac{2}{9}\) \(\Rightarrow\left[{}\begin{matrix}\dfrac{20}{9}-x=\dfrac{2}{9}\\x-\dfrac{20}{9}=\dfrac{2}{9}\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{22}{9}\end{matrix}\right.\)
Vậy ...
i) PT \(\Leftrightarrow\dfrac{8}{5}+\dfrac{2}{5}x=\dfrac{16}{5}\) \(\Leftrightarrow\dfrac{2}{5}x=\dfrac{8}{5}\) \(\Leftrightarrow x=4\)
Vậy ...
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,2-x=17-\left(-5\right)\)
\(\Rightarrow2-x=17+5\)
\(\Rightarrow2-x=22\)
\(\Rightarrow x=2-22\)
\(\Rightarrow x=-20\)
Vay...
\(b,11-\left(15+11\right)=x-\left(25-9\right)\)
\(\Rightarrow11-26=x-16\)
\(\Rightarrow-15=x-16\)
\(\Rightarrow-15+16=x\)
\(\Rightarrow x=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1,-12 + x = 5x - 20
-12 + 20 = 5x - x
8 = 4x
x = 2
2, 7x - 4 = 20 + 3x
7x - 3x = 20 + 4
4x = 24
x = 6
3 , 5x - 7 = -21 - 2x
5x + 2x = -21 + 7
7x = -14
x = -14 : 7 = -2
4 , x + 15 = 20 - 4x
x + 4x = 20 - 15
5x = 5
x = 5 : 5 = 1
5, 17 - x = 7 - 6x
-x + 6x = 7 - 17
5x = -10
x = -10 : 5 = -2
![](https://rs.olm.vn/images/avt/0.png?1311)
x-(17-8) = 5+(10-3x)
x-9=5+10-3x
x+3x=5+10+9
x+3x=24
4x=24
x=24/4
x=6
vậy x=6
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(3x-10=2x+13\Leftrightarrow x=13+10=23\)
b) \(x+12=-5-x\Leftrightarrow2x=-17\Leftrightarrow x=-\frac{17}{2}\)
c) \(x+5=10-x\Leftrightarrow2x=5\Leftrightarrow x=\frac{5}{2}\)
d) \(6x+23=2x-12\Leftrightarrow4x=-35\Leftrightarrow x=-\frac{35}{4}\)
e) \(12-x=x+1\Leftrightarrow2x=11\Leftrightarrow x=\frac{11}{2}\)
f) \(14+4x=3x+20\Leftrightarrow x=20-14=6\)
g) \(2\left(x-1\right)+3\left(x-2\right)=x-4\Leftrightarrow2x-2+3x-6=x-4\)
\(\Leftrightarrow5x-8=x-4\Leftrightarrow4x=4\Leftrightarrow x=1\)
h ) \(3\left(4-x\right)-2\left(x-1\right)=x+20\Leftrightarrow12-3x-2x+2=x+20\)
\(\Leftrightarrow14-5x=x+20\Leftrightarrow6x=-6\Leftrightarrow x=-1\)
i ) \(4\left(2x+7\right)-3\left(3x-2\right)=24\Leftrightarrow8x+28-9x+6=24\)
\(\Leftrightarrow34-x=24\Leftrightarrow x=34-24=10\)
k) \(3\left(x-2\right)+2x=10\Leftrightarrow3x-6+2x=5x-6=10\)
\(\Leftrightarrow5x=10+6=16\Leftrightarrow x=\frac{16}{5}\)
Tự KL cho các phần
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x\left(x+1\right)\left(x+2\right)\left(x+3\right)+1\)
\(=\left(x^2+x\right)\left(x+2\right)\left(x+3\right)+1\)
\(=\left(x^3+x^2+2x^2+2x\right)\left(x+3\right)+1\)
\(=\left(x^3+3x^2+2x\right)\left(x+3\right)+1\)
\(=x^4+3x^3+2x^2+3x^3+9x^2+6x+1\)
\(=x^4+\left(3x^3+3x^3\right)+\left(2x^2+9x^2\right)+6x+1\)
\(=x^4+6x^3+11x^2+6x+1\)
\(=\left(x^2+3x+1\right)^2\) (Bằng vế phải)
\(x\left(x+1\right)\left(x+2\right)\left(x+3\right)+1\)
\(=\left[x\left(x+3\right)\right]\left[\left(x+1\right)\left(x+2\right)\right]+1\)
\(=\left(x^2+3x\right)\left(x^2+2x+x+2\right)+1\)
\(=\left(x^2+3x+1-1\right)\left(x^2+3x+1+1\right)+1\)
\(=\left(x^2+3x+1\right)^2-1^2+1\)
\(=\left(x^2+3x+x\right)^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
x + 5 + x - 7 + x - 9 = x - 5 + x - 5
\(\Leftrightarrow\)x + x + x + 5 - 7 - 9 = x + x - 5 - 5
\(\Leftrightarrow\)3x + 5 - 16 = 2x - 10
\(\Leftrightarrow\)3x + 10 + 5 = 2x + 16
\(\Leftrightarrow\)3x + 15 = 2x + 16
\(\Leftrightarrow\)3x = 2x + 1
\(\Leftrightarrow\) 1 = 3x - 2x
\(\Leftrightarrow\) 1 = x
Vậy x = 1.
=> 3x-7+5-x=10
=> 2x-2 = 10
=> 2x = 10+2 = 12
=> x = 12 : 2 = 6
Vậy x = 6
Tk mk nha
(3x-7)-(-5+x)=10
3x-7+5-x=10
3x-x-7+5=10
2x-2=10
2x=10+2
2x=12x
x=12:2
x+6
Vật x=6