bạn đăng tách cho mn cùng giúp nhé 

Bài 1 : 

a, \(\Leftrightarrow11-x=12-8x\Leftrightarrow7x=1\Leftrightarrow x=\dfrac{1}{7}\)

b, \(\Leftrightarrow2x\left(x^2+4x+4\right)-8x^2=2\left(x^3-8\right)\)

\(\Leftrightarrow2x^3+8x^2+8x-8x^2=2x^3-16\Leftrightarrow x=-2\)

c, \(\Leftrightarrow3-2x=-x-4\Leftrightarrow x=7\)

d, \(\Leftrightarrow x^3-6x^2+12x-8+9x^2-1=x^3+3x^2+3x+1\)

\(\Leftrightarrow3x^2+12x-9=3x^2+3x+1\Leftrightarrow x=\dfrac{10}{9}\)

e, \(\Leftrightarrow2x^2-x-3=2x^2+9x-5\Leftrightarrow x=5\)

f, \(\Leftrightarrow x^3-3x^2+3x-1-x^3-2x^2-x=10x-5x^2-11x-22\)

\(\Leftrightarrow-5x^2+2x-1=-5x^2-x-22\Leftrightarrow3x=-21\Leftrightarrow x=-7\)

h) \(PT\Leftrightarrow x^2+4x-3x-12-6x+4=x^2-8x+16\)

\(\Leftrightarrow3x=24\)

\(\Leftrightarrow x=8\)

Vậy: \(S=\left\{8\right\}\)

j) \(PT\Leftrightarrow x^3-x^2+x+x^2-x+1-2x=x^3-x\)

\(\Leftrightarrow x=1\)

Vậy: \(S=\left\{1\right\}\)

a) 3x - 2 = 2x-3

<=> 3x-2 -2x +3 = 0

<=> x +1 = 0

<=> x = -1

c) 3 - 4y+24+6y=y+27+3y

<=> 3 - 4y+24+6y - y - 27 - 3y = 0

<=> -2y =0

<=> y = 0

b,7-2x = 22 - 3x

<=> 7-2x -22 +3x = 0

<=> -15 +x = 0

<=> x = 15

d) x-12+4x = 25+2x-1

<=> x-12+4x -25-2x+1=0

<=> 3x -36 = 0

<=> 3x = 36

<=> x = 12

còn câu e bạn tự làm nha

\(a,3x-2=2x-3\)

\(3x-2x=-3+2\)

\(x=-1\)

Vậy pt cs nghiệm là  { -1 }

\(b,7-2x=22-3x\)

\(-2x+3x=22-7\)

\(x=15\)

Vậy pt cs nghiệm là { 15 }

bn lm nốt nha ... 

a) 3x - 2 = 2x-3

<=> 3x-2 -2x +3 = 0

<=> x +1 = 0

<=> x = -1

b) 3 - 4y+24+6y=y+27+3y

<=> 3 - 4y+24+6y - y - 27 - 3y = 0

<=> -2y =0

<=> y = 0

c)7-2x = 22 - 3x

<=> 7-2x -22 +3x = 0

<=> -15 +x = 0

<=> x = 15

d) x-12+4x = 25+2x-1

<=> x-12+4x -25-2x+1=0

<=> 3x -36 = 0

<=> 3x = 36

<=> x = 12

a) \(3x-2=2x-3\)

\(\Leftrightarrow x+1=0\)

\(\Leftrightarrow x=-1\)

b) \(3-4y+24+6y=y+27+3y\)

\(\Leftrightarrow-2y=0\Leftrightarrow y=0\)

c) \(7-2x=22-3x\)

\(\Leftrightarrow x-15=0\)

\(\Leftrightarrow x=15\)

d) \(8x-3=5x+12\)

\(\Leftrightarrow3x-15=0\Leftrightarrow x=5\)

e) \(x-12+4x=25+2x-1\)

\(\Leftrightarrow3x-36=0\)

\(\Leftrightarrow x=12\)

f) \(x+2x+3x-19=3x+5\)

\(\Leftrightarrow3x-24=0\)

\(\Leftrightarrow x=8\)

a: =>-x+2x=3-7

=>x=-4

b: =>6x+2+2x-5=0

=>8x-3=0

hay x=3/8

c: =>5x+2x-2-4x-7=0

=>3x-9=0

hay x=3

d: =>10x²-10x²-15x=15

=>-15x=15

hay x=-1

a) 5-(x-6)=4(3-2x)

<=>5-x+6-12+8x=0

<=>7x-1=0

=>x=1/7

a, <=> x = -4 

b, <=> 6x + 2 = -2x + 5 <=> 8x = 3 <=> x = 3/8 

c, <=> 5x + 2x - 2 = 4x + 7 <=> 2x = 9 <=> x = 9 /2 

d, <=> 10x^2 - 10x^2 - 15x = 15 <=> x = -1 

a, <=> x = -4 

b, <=> 6x + 2 = -2x + 5 <=> 8x = 3 <=> x = 3/8 

c, <=> 5x + 2x - 2 = 4x + 7 <=> 2x = 9 <=> x = 9 /2 

d <=> 10x^2 - 10x^2 - 15x = 15 <=> x = -1 

a) x=-4

b)4x=3

x=3/4

c)3x=9

x=3

d) 15x=15

x=1

Bài giải:

a) 5x² + 2x = 4 – x ⇔ 5x² + 3x – 4 = 0; a = 5, b = 3, c = -4

b) x² + 2x – 7 = 3x +  ⇔ x² – x -  = 0, a = , b = -1, c = -

c) 2x² + x - √3 = √3 . x + 1 ⇔ 2x² + (1 - √3)x – 1 - √3 = 0

 Với a = 2, b = 1 - √3, c = -1 - √3

^d) 2x² + m² = 2(m – 1)x ⇔ 2x² - 2(m – 1)x + m² = 0; a = 2, b = - 2(m – 1), c = m²

Bài 3:

a) Ta có: \(2x\left(x+2\right)^2-8x^2=2\left(x-2\right)\left(x^2+2x+4\right)\)

⇔\(2x\left(x^2+4x+4\right)-8x^2=2\left(x^3-8\right)\)

\(\Leftrightarrow2x^3+8x^2+8-8x^2=2x^3-16\)

\(\Leftrightarrow2x^3+8-2x^3+16=0\)

hay 24=0(vô lý)

Vậy: x∈∅

b) Ta có: \(\left(x-2\right)^3+\left(3x-1\right)\left(3x+1\right)=\left(x+1\right)^3\)

\(\Leftrightarrow x^3-6x^2+12x-8+9x^2-1=x^3+3x^2+3x+1\)

\(\Leftrightarrow x^3+3x^2+12x-9-x^3-3x^2-3x-1=0\)

\(\Leftrightarrow9x-10=0\)

\(\Leftrightarrow9x=10\)

hay \(x=\frac{10}{9}\)

Vậy: \(x=\frac{10}{9}\)

c) Ta có: \(\left(x-1\right)^3-x\left(x+1\right)^2=5x\left(2-x\right)-11\left(x+2\right)\)

\(\Leftrightarrow x^3-3x^2+3x-1-x\left(x^2+2x+1\right)=10x-5x^2-11x-22\)

\(\Leftrightarrow x^3-3x^2+3x-1-x^3-2x^2-x=-5x^2-x-22\)

\(\Leftrightarrow-5x^2+2x-1+5x^2+x+22=0\)

\(\Leftrightarrow3x+21=0\)

\(\Leftrightarrow3x=-21\)

hay x=-7

Vậy: x=-7

d) Ta có: (x-1)-(2x-1)=9-x

⇔x-1-2x+1-9+x=0

⇔-9=0(vô lý)

Vậy: x∈∅

e) Ta có: \(x\left(x+3\right)^2-3x=\left(x+2\right)^3+1\)

\(\Leftrightarrow x\left(x^2+6x+9\right)-3x=x^3+6x^2+12x+8+1\)

\(\Leftrightarrow x^3+6x^2+9x-3x-x^3-6x^2-12x-9=0\)

\(\Leftrightarrow-6x-9=0\)

\(\Leftrightarrow-6x=9\)

hay \(x=-\frac{3}{2}\)

Vậy: \(x=-\frac{3}{2}\)

\(a,2x\left(x-5\right)+4\left(x-5\right)=0\\ \Leftrightarrow\left(x-5\right)\left(2x+4\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x-5=0\\2x+4=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=5\\2x=-4\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=5\\x=-2\end{matrix}\right.\)

Vậy \(x\in\left\{5;-2\right\}\)

\(b,3x-15=2x\left(x-5\right)\\ \Leftrightarrow3\left(x-5\right)-2x\left(x-5\right)=0\\ \Leftrightarrow\left(x-5\right)\left(-2x+3\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x-5=0\\-2x+3=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=5\\2x=3\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=5\\x=\dfrac{3}{2}\end{matrix}\right.\)

Vậy \(x\in\left\{5;\dfrac{3}{2}\right\}\)

\(c,\left(2x+1\right)\left(3x-2\right)=\left(5x-8\right)\left(2x+1\right)\\ \Leftrightarrow\left(2x+1\right)\left(3x-2\right)-\left(5x-8\right)\left(2x+1\right)=0\\ \Leftrightarrow\left(2x+1\right)\left(3x-2-5x+8\right)=0\\ \Leftrightarrow\left(2x+1\right)\left(-2x+6\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}2x+1=0\\-2x+6=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}2x=-1\\2x=6\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=3\end{matrix}\right.\)

Vậy \(x\in\left\{-\dfrac{1}{2};3\right\}\)

Câu d xem lại đề