tìm x biết
2x-1/3x+2=0
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a: =>2x^3=58-4=54
=>x^3=27
=>x=3
b; =>(5-x)^5=2^5
=>5-x=2
=>x=3
c: =>(5x-6)^3=4^3
=>5x-6=4
=>5x=10
=>x=2
d: (3x)^3=(2x+1)^3
=>3x=2x+1
=>x=1
1=>2x3=54
=>x3=27 =>x=3
2=>(5-x)5=25
=>5-x=2
=>x=3
3=>(5x-6)3=43
=>5x-6=4
=>5x=10=>x=2
4=>3x=2x+1
=>x=1
\(2x-10,01=19,01-3\\ \Rightarrow2x-10,01=16,01\\ \Rightarrow2x=16,01+10,01\\ \Leftrightarrow2x=26,02\\ \Leftrightarrow x=26,02:2=13,01\)
2x-10,01=19,01-3
=> 2x-10,01= 16,01
=> 2x= 16,01+10,01
=>2x= 26,02
=> x= 26,02: 2= 13,01
1.Số tiền phải trả mua đt sai khi giảm giá là:
\(\dfrac{5000000\times\left(100-20\right)}{100}=4000000\left(đ\right)\)
2.\(16dm=160cm\)
\(\dfrac{x}{y}=\dfrac{5}{160}=0,03\)
3.\(2x+9=5\)
\(2x=5-9\)
\(2x=-4\)
\(x=-\dfrac{4}{2}=-2\)
1)
Số tiền được giảm:
\(\text{5000000}\times20\%=1000000\left(đông\right)\)
Giá tiền sau khi giảm :
\(5000000-1000000=4000000\left(đồng\right)\)
2)
16dm = 160 cm
Tỉ số % của x và y là:
\(5:160=\dfrac{5}{160}=\dfrac{1}{32}=0,03\)
Tìm x:
\(2x+9=5\)
\(2x=5-9\)
\(2x=-4\)
\(x=-4:2\)
\(x=-2\)
a)
\(\Rightarrow x\left(x-5\right)=0\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=0\\x-5=0\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=0\\x=5\end{array}\right.\)
b)
\(\Rightarrow3x\left(x-2\right)-2\left(x-2\right)=0\)
\(\Rightarrow\left(x-2\right)\left(3x-2\right)=0\)
\(\Rightarrow\left[\begin{array}{nghiempt}x-2=0\\3x-2=0\end{array}\right.\)\(\Rightarrow\left[\begin{array}{nghiempt}x=2\\x=\frac{2}{3}\end{array}\right.\)
c)
\(\Rightarrow\left(3x-1\right)\left(5x+x-2\right)=0\)
\(\Rightarrow\left(3x-2\right)^2.2=0\)
\(\Rightarrow3x-2=0\)
\(\Rightarrow x=\frac{2}{3}\)
a: \(x^3-4x^2-x+4=0\)
=>\(\left(x^3-4x^2\right)-\left(x-4\right)=0\)
=>\(x^2\left(x-4\right)-\left(x-4\right)=0\)
=>\(\left(x-4\right)\left(x^2-1\right)=0\)
=>\(\left[{}\begin{matrix}x-4=0\\x^2-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x^2=1\end{matrix}\right.\Leftrightarrow x\in\left\{2;1;-1\right\}\)
b: Sửa đề: \(x^3+3x^2+3x+1=0\)
=>\(x^3+3\cdot x^2\cdot1+3\cdot x\cdot1^2+1^3=0\)
=>\(\left(x+1\right)^3=0\)
=>x+1=0
=>x=-1
c: \(x^3+3x^2-4x-12=0\)
=>\(\left(x^3+3x^2\right)-\left(4x+12\right)=0\)
=>\(x^2\cdot\left(x+3\right)-4\left(x+3\right)=0\)
=>\(\left(x+3\right)\left(x^2-4\right)=0\)
=>\(\left(x+3\right)\left(x-2\right)\left(x+2\right)=0\)
=>\(\left[{}\begin{matrix}x+3=0\\x-2=0\\x+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=2\\x=-2\end{matrix}\right.\)
d: \(\left(x-2\right)^2-4x+8=0\)
=>\(\left(x-2\right)^2-\left(4x-8\right)=0\)
=>\(\left(x-2\right)^2-4\left(x-2\right)=0\)
=>\(\left(x-2\right)\left(x-2-4\right)=0\)
=>(x-2)(x-6)=0
=>\(\left[{}\begin{matrix}x-2=0\\x-6=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=6\end{matrix}\right.\)
a)\(3x\left(x-2\right)+2\left(2-x\right)=0\)
\(\Leftrightarrow3x\left(x-2\right)-2\left(x-2\right)=0\)
\(\Leftrightarrow\left(3x-2\right)\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}3x-2=0\\x-2=0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=\frac{2}{3}\\x=2\end{cases}}\)
b)\(5x\left(3x-1\right)+x\left(3x-1\right)-2\left(3x-1\right)=0\)
\(\Leftrightarrow\left(3x-1\right)\left(5x+x-2\right)=0\)
\(\Leftrightarrow\left(3x-1\right)\left(6x-2\right)=0\)
\(\Leftrightarrow2\left(3x-1\right)\left(3x-1\right)=0\)
\(\Leftrightarrow\left(3x-1\right)^2=0\Rightarrow3x-1=0\Rightarrow x=\frac{1}{3}\)
a/3x(x-2)+2(2-x)=0
=>(2-3x)(2-x)=0
=>\(\orbr{\begin{cases}2-3x=0\\2-x=0\end{cases}}\)=>\(\orbr{\begin{cases}3x=2\\x=2\end{cases}}\)=>\(\orbr{\begin{cases}x=\frac{2}{3}\\x=2\end{cases}}\)
b/5x(3x-1)+x(3x-1)-2(3x-1)=0
=>(5x+x-2)(3x-1)=0
=>(6x-2)(3x-1)=0
=>\(\orbr{\begin{cases}6x-2=0\\3x-1=0\end{cases}}\)=>\(\orbr{\begin{cases}6x=2\\3x=1\end{cases}}\)=>x=\(\frac{1}{3}\)
\(2x^2-x-8=0\\ \Leftrightarrow\left(2x^2-x\right)-8=0\\ \Leftrightarrow x\left(2x-1\right)-8=0\\ \Leftrightarrow\left(x-8\right)\left(2x-1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=8\\x=\dfrac{1}{2}\end{matrix}\right.\)
\(\dfrac{1}{2}-3x+\left|x-1\right|=0\\ \Rightarrow3x+\left|x-1\right|=\dfrac{1}{2}-0\\ \Rightarrow3x+\left|x-1\right|=\dfrac{1}{2}\\ \Rightarrow\left|x-1\right|=\dfrac{1}{2}-3x\\ \Rightarrow\left[{}\begin{matrix}x-1=\dfrac{1}{2}-3x\\x-1=-\dfrac{1}{2}+3x\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x+3x=\dfrac{1}{2}+1\\x-3x=-\dfrac{1}{2}+1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}4x=\dfrac{3}{2}\\2x=\dfrac{1}{2}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{8}\\x=\dfrac{1}{4}\end{matrix}\right.\)
__
\(\dfrac{1}{2}\left|2x-1\right|+\left|2x-1\right|=x+1\\ \Rightarrow\left|2x-1\right|\cdot\left(\dfrac{1}{2}+1\right)=x+1\\ \Rightarrow\left|2x-1\right|\cdot\dfrac{3}{2}=x+1\\ \Rightarrow\left|2x-1\right|=x+1:\dfrac{3}{2}\\ \Rightarrow\left|2x-1\right|=x+\dfrac{2}{3}\\ \Rightarrow\left[{}\begin{matrix}2x-1=x+\dfrac{2}{3}\\2x-1=-x-\dfrac{2}{3}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x-x=\dfrac{2}{3}+1\\2x+x=-\dfrac{2}{3}+1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\3x=\dfrac{1}{3}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=\dfrac{1}{9}\end{matrix}\right.\)
( 2. l x l - 1) .(7 - 3x ) =0 ( x2 + 1 ). ( 1/2 - 3x ) <0 ( l x l + 1 ) . ( 15x - 1 ) = 0
=> 2 . l x l - 1 = 0 hoặc 7 - 3x = 0 => x2+1 hoặc 1/2 -3x < 0 => l x l + 1 hoặc 15x - 1 =0
+ 2 . l x l - 1 = 0 => 2 . l x l =1 => x = 1/2 + x2 +1< 0 => x không tồn tại + l x l - 1 = 0 => l x l = 1 => thuộc 1 : -1
+ 7 - 3x = 0 => 3x = 7 => x = 7/3 + 1/2 - 3x < 0 => 3x > 1/2 => x > 1 + 15x - 1 = 0 => 15x =1 => x = 1/15
x2( x + 1 ) + 2x( x + 1 ) = 0 <=> x( x + 1 )( x + 2 ) = 0 <=> x = 0 hoặc x = -1 hoặc x = -2
x( 3x - 1 ) - 5( 1 - 3x ) = 0 <=> x( 3x - 1 ) + 5( 3x - 1 ) = 0 <=> ( 3x - 1 )( x + 5 ) = 0 <=> x = 1/3 hoặc x = -5
Trả lời:
1, \(x^2\left(x+1\right)+2x\left(x+1\right)=0\)
\(\Leftrightarrow x\left(x+1\right)\left(x+2\right)=0\)
\(\Leftrightarrow x=0;x=-1;x=-2\)
Vậy x = 0; x = - 1; x = - 2 là nghiệm của pt.
2, \(x\left(3x-1\right)-5\left(1-3x\right)=0\)
\(\Leftrightarrow x\left(3x-1\right)+5\left(3x-1\right)=0\)
\(\Leftrightarrow\left(3x-1\right)\left(x+5\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}3x-1=0\\x+5=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=-5\end{cases}}}\)
Vậy x = 1/3; x = - 5 là nghiệm của pt.
\(2x-\frac{1}{3}+2=0\)
\(2x-\frac{1}{3}=0-2\)
\(2x=-2+\frac{1}{3}\)
\(x=\frac{-5}{3}:2\)
\(x=\frac{-5}{3}.\frac{1}{2}\)
\(x=\frac{-5}{6}\)
~HT~
2x-1/3x+2=0
=>5/3x+2=0
<=>5/3x=-2
<=>x=-6/5