Tìm SNT x biết:
a)70-5.(x-3)=45
b)x-(2x-4)=0
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Tách ?
`a, 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`
______
`b,10 + 2.x = 4^5:4^3`
`=> 10 + 2.x = 4^(5-3)`
`=> 10 + 2.x =4^2=16`
`=> 2.x=16-10`
`=>2.x=6`
`=>x=6:2`
`=>x=3`
_____
`c,60-3.x-2=51`
`=> 60-3.x= 51+2`
`=> 60-3.x=53`
`=>3.x=60-53`
`=> 3.x= 7`
`=>x= 7/3`
____
`d, 4.x-20=2^5:2^3`
`=> 4.x-20=2^(5-3)`
`=> 4.x-20=2^2`
`=> 4.x= 4+20`
`=>4.x=24`
`=>x=24:4`
`=>x=6`
____
`2^x . 4=16`
`=> 2^x=16:4`
`=>2^x= 4`
`=>2^x=2^2`
`=>x=2`
____
`f, 3^x . 3=243`
`=>3^x=243:3`
`=> 3^x=81`
`=> 3^x=3^3`
`=>x=3`
_____
`g, 64. 4^x =16^8`
`=> 4^3 . 4^x=(4^2)^8`
`=> 4^3 . 4^x = 4^(16)`
`=> 4^x= 4^(16-3)`
`=>4^x=4^(13)`
`=>x=13`
_____
`2^x . 16^2 =1024`
`=> 2^x= 1024 : 16^2`
`=>2^x=4`
`=>2^x=2^2`
`=>x=2`
a: =>5(x-3)=25
=>x-3=5
=>x=8
b: =>2x=16-10=6
=>x=3
c: =>58-3x=51
=>3x=7
=>x=7/3
d: =>4x-20=4
=>4x=24
=>x=6
e: =>2^x=4
=>2^x=2^2
=>x=2
f: =>3^x=81
=>3^x=3^4
=>x=4
g: =>4^x*4^3=4^16
=>x+3=16
=>x=13
h: =>2^x=1024/256=4=2^2
=>x=2
b) Đặt \(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{4}=k\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=2k\\y=3k\\z=4k\end{matrix}\right.\)
Ta có: \(x^2-y^2+2z^2=108\)
\(\Leftrightarrow\left(2k\right)^2-\left(3k\right)^2+2\cdot\left(4k\right)^2=108\)
\(\Leftrightarrow4k^2-9k^2+2\cdot16k^2=108\)
\(\Leftrightarrow k^2=4\)
Trường hợp 1: k=2
\(\Leftrightarrow\left\{{}\begin{matrix}x=2k=2\cdot2=4\\y=3k=3\cdot2=6\\z=4k=4\cdot2=8\end{matrix}\right.\)
Trường hợp 2: k=-2
\(\Leftrightarrow\left\{{}\begin{matrix}x=2k=2\cdot\left(-2\right)=-4\\y=3k=3\cdot\left(-2\right)=-6\\z=4k=4\cdot\left(-2\right)=-8\end{matrix}\right.\)
a, \(\left(2-x\right)\left(x+3\right)>0\Leftrightarrow\left(x-2\right)\left(x+3\right)< 0\)
Vì \(x+3>x-2\)
nên \(\hept{\begin{cases}x+3>0\\x-2< 0\end{cases}}\Leftrightarrow\hept{\begin{cases}x>-3\\x< 2\end{cases}\Leftrightarrow-3< x< 2}\)
c, \(\left(5-2x\right)\left(x+4\right)>0\)
TH1 : \(\hept{\begin{cases}5-2x>0\\x+4>0\end{cases}}\Leftrightarrow\hept{\begin{cases}x< \frac{5}{2}\\x>-4\end{cases}}\Leftrightarrow-4< x< \frac{5}{2}\)
TH2 : \(\hept{\begin{cases}5-2x< 0\\x+4< 0\end{cases}}\Leftrightarrow\hept{\begin{cases}x>\frac{5}{2}\\x< -4\end{cases}}\)( vô lí )
bạn làm tương tự nhé
a) \(\dfrac{x}{-6}=\dfrac{-15}{45}\)
\(\dfrac{-x}{6}=\dfrac{-15}{45}\)
\(\dfrac{x}{6}=\dfrac{15}{45}\)
\(x=\dfrac{\left(15\cdot6\right)}{45}\)
\(x=2\)
b) \(\dfrac{x}{5}=\dfrac{16}{25}\)
\(x=\dfrac{\left(16\cdot5\right)}{25}\)
\(x=\dfrac{80}{25}\)
\(x=\dfrac{16}{5}\)
c) \(\dfrac{5}{x-3}=\dfrac{20}{-12}\)
\(x-3=\dfrac{\left(5\cdot-12\right)}{20}\)
\(x-3=-3\)
\(x=\left(-3\right)+3\)
\(x=0\)
d) \(\dfrac{2}{5}\cdot x=\dfrac{6}{35}\)
\(x=\dfrac{6}{35}\div\dfrac{2}{5}\)
\(x=\dfrac{3}{7}\)
a) 6x(3x +5)-2x(9x-2)=17
6x3x+6x5-2x9x-2x(-2)=17
\(18x^2\)+30x-\(18x^2\)+4x=17
\(18x^2-18x^2\)+ 34x=17
0 +34x=17
x=17:34
x=0.5
b)2x(3x-1)-3x(2x+11)-70=0
2x3x-2x1-3x2x+3x11-70=0
\(6x^2-2x-6x^2+33x-70=0\)
-2x+33x-70=0
31x-70=0
31x=0+70
31x=70
x=\(\frac{70}{31}\)
(trong câu c dấu . của mình là nhân nha)
c)5x(2x-3)-4(8-3x)=2(3+5x)
5x2x-5x3-4.8+4.3x=2.3+2.5x
\(10x^2-15x-32+12x=6+10x\)
\(10x^2-15x+12x-10x=6+32\)
\(10x^2-13x=38\)
tạm thời mình bí chổ này thông cảm nha bạn
a)
(2x-1)2-(5x-5)2=0
<=>(2x-1-5x+5)(2x-1+5x-5)=0
<=>(-3x+4)(7x-6)=0
<=>\(\orbr{\begin{cases}-3x+4=0\\7x-6=0\end{cases}}\)
<=>\(\orbr{\begin{cases}-3x=-4\\7x=6\end{cases}}\)
<=>\(\orbr{\begin{cases}x=\frac{-4}{-3}=\frac{4}{3}\\x=\frac{6}{7}\end{cases}}\)
b)
(2x+1)2-4(x+3)2=0
<=>(2x+1)2-[2(x+3)]2=0
<=>(2x+1)2-(2x+6)2=0
<=>(2x+1-2x-6)(2x+1+2x+6)=0
<=>-5(4x+7)=0
<=>4x+7=0
<=>4x=-7
<=>\(x=-\frac{7}{4}\)
\(\left(x+\frac{2}{3}\right)\left(\frac{5}{4}-2x\right)>0\)
th1 :
\(\hept{\begin{cases}x+\frac{2}{3}>0\\\frac{5}{4}-2x>0\end{cases}\Rightarrow\hept{\begin{cases}x>-\frac{2}{3}\\-2x>-\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x>-\frac{2}{3}\\x>\frac{5}{8}\end{cases}\Rightarrow}x>\frac{5}{8}}\)
th2 :
\(\hept{\begin{cases}x+\frac{2}{3}< 0\\\frac{5}{4}-2x< 0\end{cases}\Rightarrow\hept{\begin{cases}x< -\frac{2}{3}\\-2x< -\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x< -\frac{2}{3}\\x< \frac{5}{8}\end{cases}\Rightarrow}x< -\frac{2}{3}}\)
vậy_
a)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
a) 70 - 5 . (x - 3) = 45
= 70 - 5 . 3 - x = 45
= 70 - 65 - x = 45
= 15 - x = 45
x = 15 - 45
x = -30
b) x - (2x - 4) = 0
= x - (20.x - 4) = 0
= 0 + 4 + 20 = x
=> x = 0 + 4 + 20
x = 24
Đs:
Chả biết đúng hay không nữa