tìm x biết 2|x-1|-3(1-4x)=21
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Rút gọn hết ta được :
a/ 41x - 17 = -21
=> 41x = -4 => x = 4/41
b/ 34x - 17 = 0
=> 34x = 17
=> x = 17/34 = 1/2
c/ 19x + 56 = 52
=> 19x = -4
=> x = -4/19
d/ 20x2 - 16x - 34 = 10x2 + 3x - 34
=> 10x2 - 19x = 0
=> x(10x - 19) = 0
=> x = 0
hoặc 10x - 19 = 0 => 10x = 19 => x = 19/10
Vậy x = 0 ; x = 19/10
Rút gọn hết ta được :
a/ 41x - 17 = -21
=> 41x = -4 => x = 4/41
b/ 34x - 17 = 0
=> 34x = 17
=> x = 17/34 = 1/2
c/ 19x + 56 = 52
=> 19x = -4
=> x = -4/19
d/ 20x 2 - 16x - 34 = 10x 2 + 3x - 34
=> 10x 2 - 19x = 0
=> x(10x - 19) = 0
=> x = 0 hoặc 10x - 19 = 0
=> 10x = 19
=> x = 19/10
Vậy x = 0 ; x = 19/10
`a,x^2+2x+1=9`
`<=>x^2+2.x.1+1^2=9`
`<=>(x+1)^2=3^2`
`<=>(x+1)^2=+-3`
\(\Leftrightarrow\left[{}\begin{matrix}x+1=3\\x+1=-3\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=2\\x=-4\end{matrix}\right.\)
`b, x^2-4x-21=0`
`<=>x^2+3x-7x-21=0`
`<=>x(x+3) - 7(x+3)=0`
`<=>(x+3)(x-7)=0`
\(\Leftrightarrow\left[{}\begin{matrix}x+3=0\\x-7=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-3\\x=7\end{matrix}\right.\)
`c,x^2+10x-24=0`
`<=>x^2+12x-2x-24=0`
`<=>x(x+12)-2(x+12)=0`
`<=>(x+12)(x-2)=0`
\(\Leftrightarrow\left[{}\begin{matrix}x+12=0\\x-2=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-12\\x=2\end{matrix}\right.\)
a: =>(x+1)^2=9
=>(x+1+3)(x+1-3)=0
=>(x+4)(x-2)=0
=>x=2 hoặc x=-4
b: =>x^2-7x+3x-21=0
=>(x-7)(x+3)=0
=>x=7;x=-3
c: =>x^2+12x-2x-24=0
=>(x+12)(x-2)=0
=>x=2 hoặc x=-12
Bài 1:
a) \(9\left(4x+3\right)^2=16\left(3x-5\right)^2\)
\(114x^2+216x+81=114x^2-480x+400\)
\(144x^2+216x=144x^2-480x+400-81\)
\(114x^2+216=114x^2-480x+319\)
\(696x=319\)
\(\Rightarrow x=\frac{11}{24}\)
b) \(\left(x^3-x^2\right)^2-4x^2+8x-4=0\)
\(\left(x-1\right)^2\left(x^2+2\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)=0\)
\(\Rightarrow x=1\)
c) \(x^5+x^4+x^3+x^2+x+1=0\)
\(\left(x+1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)=0\)
\(\Rightarrow x=-1\)
Bài 2:
a) \(5x^3-7x^2-15x+21=0\)
\(\left(5x-7\right)\left(x+\sqrt{3}\right)\left(x-\sqrt{3}\right)=0\)
\(\Rightarrow x=\frac{7}{5}\)
b) \(\left(x-3\right)^2=4x^2-20x+25\)
\(x^2-6x+9-25=4x^2-20x+25\)
\(x^2-6x+9=4x^2-20x+25-25\)
\(x^2-6x-16=4x^2-20x\)
\(x^2+14x-16=4x^2-4x^2\)
\(-3x^2+14x-16=0\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=\frac{8}{3}\end{cases}}\)
c) \(\left(x-1\right)^2-5=\left(x+2\right)\left(x-2\right)-x\left(x-1\right)\)
\(x^2-2x=x-4\)
\(x^2-2x=x-4+4\)
\(x^2-2x=x-x\)
\(x^2-3x=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=3\end{cases}}\)
d) \(\left(2x-3\right)^3-\left(2x+3\right)\left(4x^2-1\right)=-24\)
\(-48x^2+56x-24=-24\)
\(-48x^2+56x=-24+24\)
\(-48x^2+56=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=\frac{7}{6}\end{cases}}\)
mình ko chắc
a, (x + 2)(x2 - 2x + 4 ) - x(x + 3)(x - 3) = 26
<=> x3 + 8 - x(x2 - 9) = 26
<=> x3 + 8 - x3 + 9x = 26
<=> 9x - 18 = 0
<=> 9x = 18
<=> x = 2
b, (x - 3)(x2 + 3x + 9) - x(x - 4)(x + 4) = 21
<=> x3 - 27 - x(x2 - 16) = 21
<=> x3 - 27 - x3 + 16x = 21
<=> 16x - 48 = 0
<=> 16x = 48
<=> x = 3
c, (2x - 1)(4x2 + 2x + 1) - 4x(2x2 - 3) = 23
<=> 8x3 - 1 - 8x3 + 12x = 23
<=> 12x - 24 = 0
<=> 12x = 24
<=> x = 2
a/\(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x+3\right)\left(x-3\right)=26\)
↔ \(x^3+2^3\)\(-x\left(x^2-3^2\right)\)= 26
↔\(x^3+8-x^3+9x=26\)
↔\(9x=18\leftrightarrow x=2\)
Vậy x=2
b/\(\left(x-3\right)\left(x^2+3x+9\right)-x\left(x-4\right)\left(x+4\right)=21\)
\(\Leftrightarrow x^3-3^3-x\left(x^2-4^2\right)=21\)
\(\Leftrightarrow x^3-9-x^3+16x=21\)
\(\Leftrightarrow16x=30\)
\(\Leftrightarrow x=\frac{15}{8}\)
Vậy \(x=\frac{15}{8}\)
c/\(\left(2x-1\right)\left(4x^2+2x+1\right)-4x\left(2x^2-3\right)=23\)
↔\(\left(2x\right)^3-1^3-4x\left(2x^2-3\right)=23\)
↔\(8x^3-1-8x^3+12x=23\)
↔\(12x=24\leftrightarrow x=2\)
Vậy x=2
Ta có 3(2x - 1) - 12 = 21
=> 3(2x - 1) - 33 = 0
=> 3(2x - 1 - 11) = 0
=> 2x - 12 = 0
=> 2x = 12
=> x = 6
3. ( 2x - 1 ) - 12 = 21
3 . ( 2x - 1 ) = 21 + 12
3 . ( 2x - 1 ) = 33
2x - 1 = 33 : 3
2x - 1 = 11
2x = 11 + 1
2x = 12
x = 12 : 2
x = 6
Vậy x = 6