tìm x biết
4x+8x-2x=102
: Tìm x, biết:
a) 3x( 4x- 1) - 2x(6x- 3 )=30 b) 2x(3-2x) + 2x(2x-1)=15
c) (5x-2)(4x-1) + (10x +3)(2x - 1)=1 d) (x+2) (x+2)- (x -3)(x+1) = 9
e) (4x+1)(6x-3) = 7 + (3x – 2)(8x + 9) g) (10x+2)(4x- 1)- (8x -3)(5x+2) =14
`@` `\text {Ans}`
`\downarrow`
`a)`
`3x(4x-1) - 2x(6x-3) = 30`
`=> 12x^2 - 3x - 12x^2 + 6x = 30`
`=> 3x = 30`
`=> x = 30 \div 3`
`=> x=10`
Vậy, `x=10`
`b)`
`2x(3-2x) + 2x(2x-1) = 15`
`=> 6x- 4x^2 + 4x^2 - 2x = 15`
`=> 4x = 15`
`=> x = 15/4`
Vậy, `x=15/4`
`c)`
`(5x-2)(4x-1) + (10x+3)(2x-1) = 1`
`=> 5x(4x-1) - 2(4x-1) + 10x(2x-1) + 3(2x-1)=1`
`=> 20x^2-5x - 8x + 2 + 20x^2 - 10x +6x - 3 =1`
`=> 40x^2 -17x - 1 = 1`
`d)`
`(x+2)(x+2)-(x-3)(x+1)=9`
`=> x^2 + 2x + 2x + 4 - x^2 - x + 3x + 3=9`
`=> 6x + 7 =9`
`=> 6x = 2`
`=> x=2/6 =1/3`
Vậy, `x=1/3`
`e)`
`(4x+1)(6x-3) = 7 + (3x-2)(8x+9)`
`=> 24x^2 - 12x + 6x - 3 = 7 + (3x-2)(8x+9)`
`=> 24x^2 - 12x + 6x - 3 = 7 + 24x^2 +11x - 18`
`=> 24x^2 - 6x - 3 = 24x^2 + 18x -11`
`=> 24x^2 - 6x - 3 - 24x^2 + 18x + 11 = 0`
`=> 12x +8 = 0`
`=> 12x = -8`
`=> x= -8/12 = -2/3`
Vậy, `x=-2/3`
`g)`
`(10x+2)(4x- 1)- (8x -3)(5x+2) =14`
`=> 40x^2 - 10x + 8x - 2 - 40x^2 - 16x + 15x + 6 = 14`
`=> -3x + 4 =14`
`=> -3x = 10`
`=> x= - 10/3`
Vậy, `x=-10/3`
Tìm x:
2x+8x:12+18y=26
Biết x+y=102
x=100.5188285 nha ai ra giống mik cho mik 1 k nha
Ê mà tớ giải hpt đó nha!! sai nhớ sửa lại dùm tớ!! -_-
\(x+y=102\Leftrightarrow y=102-x\)
\(thay\) \(y\)\(vào\)\(BT\)
\(2X+8X\div12+18Y=26\)
\(\Leftrightarrow2X+8X\div12+18\left(102-X\right)=26\)
\(\Leftrightarrow\)\(2X+\frac{8X}{12}+1836-18X=26\)
\(\Leftrightarrow24X+8X+22032-216X=312\)
\(\Leftrightarrow-184X=-21720\)
\(\Leftrightarrow X\approx118\)
tìm x biết rằng a)8x^4/2x^3+3x^3/x^2=15 b)16x^3/8x^2+4x^2/2x
TÌM x, BIẾT: (2x-5)(8x-1)+(4x-9)(1-4x)=16
Câu 1 Tìm x biết
a,(3x+2)(2x-5)=(2x-5)(2x+5)
b,4x^2-8x=0
\(a,\left(3x+2\right)\left(2x-5\right)=\left(2x-5\right)\left(2x+5\right)\\ \Leftrightarrow\left(3x+2\right)\left(2x-5\right)-\left(2x-5\right)\left(2x+5\right)=0\\ \Leftrightarrow\left(2x-5\right)\left(3x+2-2x-5\right)=0\\ \Leftrightarrow\left(2x-5\right)\left(x-3\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=3\end{matrix}\right.\\ b,4x^2-8x=0\\ \Leftrightarrow4x\left(x-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\)
b: =>4x(x-2)=0
hay x=0 hoặc x=2
Tìm x biết
1,(2x+5)(2x-7)-(-4x-3)^2=16
2,(8x-3)(3x+2)-(4x+7)(x+4)=(2x+1)-(5x-1)
https://olm.vn/hoi-dap/detail/55678450227.html
Tìm x biết :
a) (3x³ + x² – 13x + 5) : (x² + 2x – 1) = 10
b) (x⁴ – 2x² – 8) : (x – 2) = 0
c) (x²-4x) : (x²-8x+16) = 0
\(a,\Leftrightarrow\dfrac{3x^3+6x^2-3x-5x^2-10x+5}{x^2+2x-1}=10\\ \Leftrightarrow\dfrac{3x\left(x^2+2x-1\right)-5\left(x^2+2x-1\right)}{x^2+2x-1}=10\\ \Leftrightarrow3x-5=10\Leftrightarrow3x=15\Leftrightarrow x=5\\ b,\Leftrightarrow\left(x^4+2x^2-4x^2-8\right):\left(x-2\right)=0\\ \Leftrightarrow\left[\left(x^2-4\right)\left(x^2+2\right)\right]:\left(x-2\right)=0\\ \Leftrightarrow\left[\left(x-2\right)\left(x+2\right)\left(x^2+2\right)\right]:\left(x-2\right)=0\\ \Leftrightarrow\left(x+2\right)\left(x^2+2\right)=0\Leftrightarrow x=-2\left(x^2+2>0\right)\\ c,\Leftrightarrow\dfrac{x\left(x-4\right)}{\left(x-4\right)^2}=0\Leftrightarrow\dfrac{x}{x-4}=0\Leftrightarrow x=0\)
b: \(\Leftrightarrow x^4-4x^2+2x^2-8=0\)
hay x=-2
Tìm x biết: \(2x.\left(8x-1\right)^2.\left(4x-1\right)=9\)
Ta có: \(2x\left(8x-1\right)^2\cdot\left(4x-1\right)=9\)
\(\Leftrightarrow\left(8x-1\right)^2\cdot\left(8x^2-2x\right)=9\)
\(\Leftrightarrow\left(64x^2-16x+1\right)\left(8x^2-2x\right)-9=0\)
\(\Leftrightarrow512x^4-128x^3-128x^3+32x^2+8x^2-2x-9=0\)
\(\Leftrightarrow512x^4-256x^3+40x^2-2x-9=0\)
\(\Leftrightarrow256x^3\left(2x-1\right)+40x^2-20x+18x-9=0\)
\(\Leftrightarrow256x^3\left(2x-1\right)+20x\left(2x-1\right)+9\left(2x-1\right)=0\)
\(\Leftrightarrow\left(2x-1\right)\left(256x^3+20x+9\right)=0\)
\(\Leftrightarrow\left(2x-1\right)\left(256x^3+64x^2-64x^2-16x+36x+9\right)=0\)
\(\Leftrightarrow\left(2x-1\right)\left[64x^2\left(4x+1\right)-4x\left(4x+1\right)+9\left(4x+1\right)\right]=0\)
\(\Leftrightarrow\left(2x-1\right)\left(4x+1\right)\left(64x^2-4x+9\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=0\\4x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=1\\4x=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=-\dfrac{1}{4}\end{matrix}\right.\)
Vậy: \(x\in\left\{\dfrac{1}{2};-\dfrac{1}{4}\right\}\)
Tìm x biết :
a, ( 3x + 2016 ) - ( 2x - 15 ) = 2016
b, - 2(x + 41 ) - (8x - 82 ) = 3 - 9x
c, ( 4x - 1) - (52 + 3x) = 2x - 41
d, - ( 3x + 217 ) - ( 4x - 217) + 5 = 3 - 8x
Tìm x biết:
4x2-8x+4=2(1-x)(x+1)
4x2-25-(2x-5)(2x+7)=0
8x2+30x+7=0
x2+3x-18=0
8x2+30x+7=0
8x2+16x+14x+7=0
8x(x+2) +7(x+2)=0
(8x+7)(x+2)=0
=>\(\orbr{\begin{cases}8x+7=0\\x+2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-\frac{7}{8}\\x=-2\end{cases}}}\)
a)
4x2-8x+4=2(1-x)(x+1)
4x2-8x+4-2+2x2=0
6x2-8x+2=0
2(3x2-4x+1)=0
3x2-3x-x+1=0
3x(x-1) -(x-1)=0
(3x-1)(x-1)=0
\(\Rightarrow\orbr{\begin{cases}3x-1=0\\x-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=1\end{cases}}}\)
d,
x2+3x-18=0
=> x2-3x+6x-18=8
=> x(x-3)+6(x-3)=0
=> (x-3)(x+6)=0
=> \(\orbr{\begin{cases}x=3\\x=-6\end{cases}}\)