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`a,4x-10=0 `
`<=> 4x=10`
`<=>x=10/4`
`<=>x=5/2`
`b, 7-3x=9-x `
`<=>-3x+x=9-7`
`<=>-2x=2`
`<=>x=-1`
`c, 2x-(3-5x) = 4(x+3)`
`<=>2x-3+5x=4x+12`
`<=>2x+5x-4x=12+3`
`<=>3x=15`
`<=>x=5`
`d, 5-(6-x)=4(3-2x) `
`<=>5-6+x=12-8x`
`<=>x+8x=12-5+6`
`<=>9x=13`
`<=>x=13/9`
`e, 4(x+3)=-7x+17 `
`<=>4x+12=-7x+17`
`<=>4x+7x=17-12`
`<=>11x=5`
`<=>x=5/11`
`f, 5(x-3) - 4=2(x-1)+7`
`<=>5x-15-4=2x-2+7`
`<=>5x-2x=15+4-2+7`
`<=>3x=24`
`<=>x=8`
`g, 5(x-3)-4=2(x-1)+7 `
`<=>5x-15-4=2x-2+7`
`<=>5x-2x=15+4-2+7`
`<=>3x=24`
`<=>x=8`
`h,4(3x-2)-3(x-4)=7x+20`
`<=>12x-8-3x+12=7x+20`
`<=>12x-3x-7x=20+8+12`
`<=>2x=40`
`<=>x=20`
Bài 3:
a: =>3x^2-6x-x-3x^2=14
=>-7x=14
=>x=-2
b: \(\Leftrightarrow2x^2+10x-x-5-2x^2-9x-x-4.5=3.5\)
=>-x-9,5=3,5
=>-x=12
=>x=-12
c: =>\(3x-3x^2+9x=36\)
=>-3x^2+12x-36=0
=>x^2-6x+12=0(loại)
d: \(\Leftrightarrow3x^2-3x+x-1+4x-3x^2=5\)
=>2x=6
=>x=3
1: Ta có: \(\dfrac{x+4}{4}+\dfrac{3x-7}{5}=\dfrac{7x+2}{20}\)
\(\Leftrightarrow5x+20+12x-28=7x+2\)
\(\Leftrightarrow17x-7x=2+8=10\)
hay x=1
2: Ta có: \(\dfrac{x}{6}+\dfrac{1-3x}{9}=\dfrac{-x+1}{12}\)
\(\Leftrightarrow\dfrac{6x}{36}+\dfrac{4\left(1-3x\right)}{36}=\dfrac{3\left(-x+1\right)}{36}\)
\(\Leftrightarrow6x+4-12x=-3x+3\)
\(\Leftrightarrow-6x+3x=3-4\)
hay \(x=\dfrac{1}{3}\)
3: Ta có: \(\dfrac{x-3}{3}-\dfrac{x+2}{12}=\dfrac{2x-1}{4}\)
\(\Leftrightarrow4x-12-x-2=6x-3\)
\(\Leftrightarrow3x-14-6x+3=0\)
\(\Leftrightarrow-3x=11\)
hay \(x=-\dfrac{11}{3}\)
4: Ta có: \(\dfrac{x-2}{4}-\dfrac{2x+3}{3}=\dfrac{x+6}{12}\)
\(\Leftrightarrow3x-6-8x-12=x+6\)
\(\Leftrightarrow-5x-x=6+18\)
hay x=-4
5: Ta có: \(\dfrac{2x-1}{12}-\dfrac{3-x}{18}=\dfrac{-1}{36}\)
\(\Leftrightarrow6x-3+2x-6=-1\)
\(\Leftrightarrow8x=8\)
hay x=1
\(1,7x-4=3x+20\\ \Leftrightarrow7x-4-3x-20=0\\ \Leftrightarrow4x-24=0\\ \Leftrightarrow x=6\\ 2,2x-5^2-x+2^2=0\\ \Leftrightarrow x-25+4=0\\ \Leftrightarrow x-21=0\\ \Leftrightarrow x=21\\ 3,ĐKXĐ:x\ne-1\\ \dfrac{2}{x+1}+1=\dfrac{7}{x+1}\\ \Leftrightarrow\dfrac{2}{x+1}+\dfrac{x+1}{x+1}-\dfrac{7}{x+1}=0\\ \Leftrightarrow\dfrac{2+x+1-7}{x+1}=0\\ \Rightarrow x-4=0\\ \Leftrightarrow x=4\left(tm\right)\)
1. \(7x-4=x+20\)
\(\Leftrightarrow7x-x=20+4\)
\(\Leftrightarrow6x=24\Leftrightarrow x=4\)
Vậy : ...
2. \(\left(2x-5\right)^2-\left(x+2\right)^2=0\)
\(\Leftrightarrow\left(2x-5+x+2\right)\left(2x-5-x-2\right)=0\)
\(\Leftrightarrow\left(3x-3\right)\left(x-7\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-3=0\\x-7=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=7\end{matrix}\right.\)
Vậy : ...
a)
\(4x-10=0\)
\(\Rightarrow x=\frac{10}{4}=\frac{5}{2}\)
b)
\(7-3x=9-x\)
\(\Leftrightarrow7-3x-9+x=0\)
\(\Leftrightarrow-2x-2=0\)
\(\Rightarrow x=-1\)
c)
\(2x-\left(3-5x\right)=4\cdot\left(x+3\right)\)
\(\Leftrightarrow2x-3+5x-4x-12=0\)
\(\Leftrightarrow3x-15=0\)
\(\Rightarrow x=5\)
d)
\(5-\left(6-x\right)=4\cdot\left(3-2x\right)\)
\(\Leftrightarrow5-6+x-12+8x=0\)
\(\Leftrightarrow9x-13=0\)
\(\Rightarrow x=\frac{13}{9}\)
e)
\(4\cdot\left(x+3\right)=-7x+17\)
\(\Leftrightarrow4x+12-17+7x=0\)
\(\Leftrightarrow11x-5=0\)
\(\Rightarrow x=\frac{5}{11}\)
f)
\(5\cdot\left(x-3\right)-4=2\cdot\left(x-1\right)+7\)
\(\Leftrightarrow5x-15-4-2x+2-7=0\)
\(\Leftrightarrow3x-24=0\)
\(\Rightarrow x=\frac{24}{3}=8\)
h)
\(4\cdot\left(3x-2\right)-3\cdot\left(x-4\right)=7x+20\)
\(\Leftrightarrow12x-8-3x+12-7x-20=0\)
\(\Leftrightarrow2x-16=0\)
\(\Rightarrow x=\frac{16}{2}=8\)
\(3x^2+7x-20=0\)
Ta có \(\Delta=7^2+4.3.20=289,\sqrt{\Delta}=17\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-7+17}{6}=\frac{5}{3}\\x=\frac{-7-17}{6}=-4\end{cases}}\)
a) \(2x-\frac{3x-1}{3}=2+\frac{x-3}{4}\)
<=> 24x - 4(3x - 1) = 24 + 3(x - 3)
<=> 24x - 12x - 4 = 24 + 3x - 9
<=> 12x + 4 = 24 + 3x - 9
<=> 12x + 4 = 3x + 15
<=> 12x = 3x + 15 - 4
<=> 12x = 3x + 11
<=> 12x - 3x = 11
<=> 9x = 11
<=> x = 11/9
Vậy: tập nghiệm phương trình: S = {11/9}
b) \(\frac{x-5}{2}+\frac{1}{4}=\frac{x-2}{3}-x\)
<=> 3(x - 5) + 3/2 = 2(x - 2) - 6x
<=> 3x - 15 + 3/2 = 2x - 4 - 6x
<=> 3x - 27/2 = -4x - 4
<=> 3x = -4x - 4 + 27/2
<=> 3x = -4x + 19/2
<=> 3x + 4x = 19/2
<=> 7x = 19/2
<=> x = 19/14
Vậy: tập nghiệm phương trình: S = {19/14}
c) \(\frac{5x-3}{6}-\frac{7x-1}{4}=\frac{4x+2}{8}-5\)
<=> \(\frac{5x-3}{6}-\frac{7x-1}{4}=\frac{2\left(2x+1\right)}{8}-5\)
<=> \(\frac{5x-3}{6}-\frac{7x-1}{4}=\frac{2x+1}{4}-5\)
<=> 2(5x - 3) - 3(7x - 1) = 3(2x + 1) - 60
<=> 10x - 6 - 21x + 3 = 6x + 3 - 60
<=> -11x - 3 = 6x - 57
<=> -3 = 6x - 57 + 11x
<=> -3 = 17x - 57
<=> -3 + 57 = 17x
<=> 54 = 17x
<=> x = 54/17
Vậy: tập nghiệm phương trình: S = {59/17}
d) 3x2 + 7x - 20 = 0
<=> 3x2 + 12x - 5x - 20 = 0
<=> 3x(x + 4) - 5(x + 4) = 0
<=> (x + 4)(3x - 5) = 0
<=> x + 4 = 0 hoặc 3x - 5 = 0
<=> x = -4 hoặc x = 5/3
Vậy: tập nghiệm phương trình: S = {-4; 5/3}
e) x3 - 3x + 2 = 0
<=> (x2 + x - 2)(x - 1) = 0
<=> (x - 1)(x + 2)(x - 1) = 0
<=> x - 1 = 0 hoặc x + 2 = 0
<=> x = 1 hoặc x = -2
Vậy: tập nghiệm phương trình: S = {1; -2}
Bài 4:
a: \(=7xy\left(2-3-4\right)=-35xy\)
b: \(=\left(x-5\right)\left(x+y\right)\)
c: \(=10x\left(x-y\right)+8\left(x-y\right)=2\left(x-y\right)\left(5x+4\right)\)
d: \(=\left(x+y\right)^3-\left(x+y\right)\)
=(x+y)(x+y+1)(x+y-1)
e: =x^2+8x-x-8
=(x+8)(x-1)
f: \(=2x^2-4x+x-2=\left(x-2\right)\left(2x+1\right)\)
g: =-5x^2+15x+x-3
=(x-3)(-5x+1)
h: =x^2-3xy+xy-3y^2
=x(x-3y)+y(x-3y)
=(x-3y)*(x+y)
Bài 4:
a: \(=7xy\left(2-3-4\right)=-35xy\)
b: \(=\left(x-5\right)\left(x+y\right)\)
c: \(=10x\left(x-y\right)+8\left(x-y\right)=2\left(x-y\right)\left(5x+4\right)\)
d: \(=\left(x+y\right)^3-\left(x+y\right)\)
=(x+y)(x+y+1)(x+y-1)
e: =x^2+8x-x-8
=(x+8)(x-1)
f: \(=2x^2-4x+x-2=\left(x-2\right)\left(2x+1\right)\)
g: =-5x^2+15x+x-3
=(x-3)(-5x+1)
h: =x^2-3xy+xy-3y^2
=x(x-3y)+y(x-3y)
=(x-3y)*(x+y)
5(x - 3) - 4 = 2( x - 1 ) + 7
=> 5x-15-4=2x-1+7
=> 5x-2x=-1+7+4+15
=> 3x=25
=> x=25/3
4(3x - 2) - 3(x - 4) = 7x + 20
=> 13x-8-3x+12=7x+20
=> 13x-3x-7x=20-12+8
=>3x=16
=> x=16/3
#huyền
2. <=>12x-8-3x+12=7x+20 <=>12x-3x-7x=20-12+8 <=>2x=16 <=>x=8