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9 tháng 6 2019
\(|x^2-5x+4|=4x-4\)
\(\Rightarrow|\left(x-1\right)\left(x-4\right)|=4\left(x-1\right)\)
\(\Rightarrow\orbr{\begin{cases}\left(x-1\right)\left(x-4\right)=4\left(x-1\right)\\\left(x-1\right)\left(x-4\right)=-4\left(x-1\right)\end{cases}}\)
TH1 :
\(\left(x-1\right)\left(x-4\right)=4\left(x-1\right)\)
\(\Rightarrow\left(x-1\right)\left(x-4\right)-4\left(x-1\right)=0\)
\(\Rightarrow\left(x-1\right)\left(x-8\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=8\end{cases}}\)
Th2:
\(\left(x-1\right)\left(x-4\right)=-4\left(x-1\right)\)
\(\Rightarrow\left(x-1\right)\left(x-4\right)+4\left(x-1\right)=0\)
\(\Rightarrow\left(x-1\right)x=0\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=0\end{cases}}\)
\(\Rightarrow S=\left\{0;1;8\right\}\)
26 tháng 7 2023
`@` `\text {Ans}`
`\downarrow`
`1)`
\(2x+\dfrac{1}{2}=\dfrac{5}{3}\)
`\Rightarrow`\(2x=\dfrac{5}{3}-\dfrac{1}{2}\)
`\Rightarrow`\(2x=\dfrac{7}{6}\)
`\Rightarrow`\(x=\dfrac{7}{6}\div2\)
`\Rightarrow`\(x=\dfrac{7}{12}\)
Vậy, `x = 7/12`
`2)`
\(\dfrac{1}{7}+\dfrac{4}{5}x=\dfrac{5}{3}\)
`\Rightarrow`\(\dfrac{4}{5}x=\dfrac{5}{3}-\dfrac{1}{7}\)
`\Rightarrow`\(\dfrac{4}{5}x=\dfrac{32}{21}\)
`\Rightarrow`\(x=\dfrac{32}{21}\div\dfrac{4}{5}\)
`\Rightarrow`\(x=\dfrac{40}{21}\)
Vậy, `x = 40/21`
`3)`
\(\dfrac{3}{5}-\dfrac{3}{5}x=\dfrac{1}{7}\)
`\Rightarrow`\(\dfrac{3}{5}x=\dfrac{3}{5}-\dfrac{1}{7}\)
`\Rightarrow`\(\dfrac{3}{5}x=\dfrac{16}{35}\)
`\Rightarrow`\(x=\dfrac{16}{35}\div\dfrac{3}{5}\)
`\Rightarrow`\(x=\dfrac{16}{21}\)
Vậy, `x = 16/21`
`4)`
\(\dfrac{5}{6}-3x=\dfrac{3}{4}\)
`\Rightarrow`\(3x=\dfrac{5}{6}-\dfrac{3}{4}\)
`\Rightarrow`\(3x=\dfrac{1}{12}\)
`\Rightarrow`\(x=\dfrac{1}{12}\div3\)
`\Rightarrow`\(x=\dfrac{1}{36}\)
Vậy, `x = 1/36`
`5)`
\(\dfrac{5}{3}-\dfrac{1}{2}x=\dfrac{3}{7}\)
`\Rightarrow`\(\dfrac{1}{2}x=\dfrac{5}{3}-\dfrac{3}{7}\)
`\Rightarrow`\(\dfrac{1}{2}x=\dfrac{26}{21}\)
`\Rightarrow`\(x=\dfrac{26}{21}\div\dfrac{1}{2}\)
`\Rightarrow`\(x=\dfrac{52}{21}\)
Vậy, `x = 52/21`
`6)`
\(5x+\dfrac{1}{2}=\dfrac{2}{3}\)
`\Rightarrow`\(5x=\dfrac{2}{3}-\dfrac{1}{2}\)
`\Rightarrow`\(5x=\dfrac{1}{6}\)
`\Rightarrow`\(x=\dfrac{1}{6}\div5\)
`\Rightarrow`\(x=\dfrac{1}{30}\)
Vậy, `x = 1/30.`
DK
1
17 tháng 9 2018
\(\frac{4+5x}{-2}=\frac{4}{\left(5x+4\right)^2}\)
\(\frac{5x+4}{-2}=\frac{4}{\left(5x+4\right)^2}\)
\(\Leftrightarrow\left(5x+4\right)^2\cdot\left(5x+4\right)=4\cdot\left(-2\right)\)
\(\Leftrightarrow\left(5x+4\right)^3=-8=\left(-2\right)^3\)
\(\Leftrightarrow5x+4=-2\)
\(\Leftrightarrow5x=-6\)
\(\Leftrightarrow x=\frac{-6}{5}\)
GN
GV Nguyễn Trần Thành Đạt
Giáo viên
24 tháng 1
5x+5x+1+5x+2=31
5x + 5x + 5x = 31 - 2 - 1
15x = 28
x= 28/15
AH
Akai Haruma
Giáo viên
14 tháng 11 2023
Lời giải:
1. $(x+2)-2=0$
$x+2=2$
$x=0$
2.
$(x+3)+1=7$
$x+3=7-1=6$
$x=6-3=3$
3.
$(3x-4)+4=12$
$3x-4+4=12$
$3x=12$
$x=12:3=4$
4.
$(5x+4)-1=13$
$5x+4=13+1=14$
$5x=14-4=10$
$x=10:5=2$
5.
$(4x-8)-3=5$
$4x-8=5+3=8$
$4x=8+8=16$
$x=16:4=4$
6.
$3+(x-5)=7$
$x-5=7-3=4$
$x=4+5=9$
7.
$8-(2x-4)=2$
$2x-4=8-2=6$
$2x=6+4=10$
$x=10:2=5$
8.
$7+(5x+2)=14$
$5x+2=14-7=7$
$5x=7-2=5$
$x=5:5=1$
9.
$5-(3x-11)=1$
$3x-11=5-1=4$
$3x=11+4=15$
$x=15:3=5$
10.
$16-(8x+2)=6$
$8x+2=16-6=10$
$8x=10-2=8$
$x=8:8=1$
\(5^x+5^{x+2}+5^{x+4}=3255\)
\(\Rightarrow5^x\left(1+5^2+5^4\right)=3255\)
\(\Rightarrow5^x.651=3255\)
\(\Rightarrow5^x=5\Rightarrow x=1\)
\(5^x+5^{x+2}+5^{x+4}=3255\)
\(5^x+5^x.5^2+5^x.5^4=3255\)
\(5^x.\left(5^2+5^4+1\right)=3255\)
\(5^x.651=3255\)
\(5^x=3255:651\)
\(5^x=5\)
\(\Rightarrow x=1\)