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14 tháng 8 2023

`10x+3-5x <= 14x+12`

`<=> 10x -5x-14x <= 12-3`

`<=> -9x <= 9`

`<=>x >= -1`

15 tháng 4 2018

Mẫu cho mấy bài rồi tự làm nha

a) \(2x+2>4\)

\(\Leftrightarrow2x>2\)

\(\Leftrightarrow x>1\)

b) \(3x+2>-5\)

\(\Leftrightarrow3x>-7\)

\(\Leftrightarrow x>-\dfrac{7}{3}\)

c) \(10-2x>2\)

\(\Leftrightarrow-2x>2-10\)

\(\Leftrightarrow-2x>-8\)

\(\Leftrightarrow x< 4\)

3 câu cuối tương tự mà làm

15 tháng 4 2018

a) 2x + 2 > 4

<=> 2x > 2

<=> x > 1

\(S=\left\{x|x>1\right\}\)

b) 3x + 2 > -5

<=> 3x > -7

<=> x > \(-\dfrac{7}{3}\)

\(S=\left\{x|x>-\dfrac{7}{3}\right\}\)

c) 10 - 2x > 2

<=> -2x > -8

<=> x < 4

\(S=\left\{x|x< 4\right\}\)

d) 1 - 2x < 3

<=> -2x < 2

<=> x > -1

\(S=\left\{x|x>-1\right\}\)

e) 10x + 3 - 5x \(\le\) 14x + 12

<=> 10x - 14x - 5x \(\le\) 12 - 3

<=> -9x \(\le\) 9

<=> \(x\ge-1\)

\(S=\left\{x|x\ge-1\right\}\)

f) 3x - 1 < 2x + 4

<=> 3x - 2x < 4 + 1

<=> x < 5

\(S=\left\{x|x< 5\right\}\)

19 tháng 8 2017

Xin lỗi bạn,mk ms học đến phân tích đa thức thành nhân tử nhóm nhiều hạng tử,còn phần này mk ms học còn yếu lắm.

20 tháng 8 2017

1. \(-10x^2+11x+6\)

\(=-10x^2+15x-4x+6\)

\(=-5x\left(2x-3\right)-2\left(2x-3\right)\)

\(=\left(-5x-2\right)\left(2x-3\right)\)

2.\(10x^2-4x-6\)

\(=2\left(5x^2-2x-3\right)\)

\(=2\left(5x^2+3x-5x-3\right)\)

\(=2\left[x\left(5x+3\right)-\left(5x+3\right)\right]\)

\(=2\left(x-1\right)\left(5x+3\right)\)

3. \(10x^2+7x-6\)

\(=10x^2+12x-5x-6\)

\(=2x\left(5x+6\right)-\left(5x+6\right)\)

\(=\left(2x-1\right)\left(5x+6\right)\)

4. \(10x^2-14x-12\)

\(=2\left(5x^2-7x-6\right)\)

\(=2\left(5x^2+3x-10x-6\right)\)

\(=2\left[x\left(5x+3\right)-2\left(5x+3\right)\right]\)

\(=2\left(x-2\right)\left(5x+3\right)\)

Câu a : \(4x^3-5x^2+6x+9\)

\(=4x^3+3x^2-8x^2-6x+12x+9\)

\(=\left(4x^3+3x^2\right)-\left(8x^2+6x\right)+\left(12x+9\right)\)

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

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

Câu b : \(5x^3-12x^2+14x-4\)

\(=5x^3-10x^2-2x^2+10x+4x-4\)

\(=\left(5x^3-2x^2\right)-\left(10x^2-4x\right)+\left(10x-4\right)\)

\(=x^2\left(5x-2\right)-2x\left(5x-2\right)+2\left(5x-2\right)\)

\(=\left(5x-2\right)\left(x^2-2x+2\right)\)

Câu c : \(x^3-5x^2+2x+8\)

\(=x^3+x^2-6x^2-6x+8x+8\)

\(=\left(x^3+x^2\right)-\left(6x^2+6x\right)+\left(8x+8\right)\)

\(=x^2\left(x+1\right)-6x\left(x+1\right)+8\left(x+1\right)\)

\(=\left(x+1\right)\left(x^2-6x+8\right)\)

\(=\left(x+1\right)\left[x^2-2x-4x+8\right]\)

\(=\left(x+1\right)\left[x\left(x-2\right)-4\left(x-2\right)\right]\)

\(=\left(x+1\right)\left(x-2\right)\left(x-4\right)\)

Câu d : \(4x^3+5x^2+10x-12\)

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

\(=\left(4x^3-3x^2\right)+\left(8x^2-6x\right)+\left(16x-12\right)\)

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

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

15 tháng 7 2017

6x3 - 7x2 + 5x - 2
= 6x3 - 4x2 - 3x2 + 2x + 3x - 2
= 6x2(x - 2/3) - 3x(x - 2/3) + 3(x - 2/3)
= (x - 2/3)(6x2 - 3x + 3)
= 3(x - 2/3)(2x2 - x + 1)

4x3 + 5x2 + 10x - 12
= 4x3 - 3x2 + 8x2 - 6x + 16x - 12
= 4x2(x - 3/4) + 8x(x - 3/4) + 16(x - 3/4)
= (x - 3/4)(4x2 + 8x + 16)
= 4(x - 3/4)(x2 + 2x + 4)

4x3 - 7x2 - x + 3
= 4x3 - 3x2 - 4x2 + 3x - 4x + 3
= 4x2(x - 3/4) - 4x(x - 3/4) - 4(x - 3/4)
= (x - 3/4)(4x2 - 4x - 4)
= 4(x - 3/4)(x2 - x - 1)

4x3 - 5x2 + 6x + 9
= 4x3 + 3x2 - 8x2 - 6x + 12x + 9
= 4x2(x + 3/4) - 8x(x + 3/4) + 12(x + 3/4)
= (x + 3/4)(4x2 - 8x + 12)
= 4(x + 3/4)(x2 - 2x + 3)

3x3 - 5x2 + 5x - 2
= 3x3 - 2x2 - 3x2 + 2x + 3x - 2
= 3x2(x - 2/3) - 3x(x - 2/3) + 3(x - 2/3)
= (x - 2/3)(3x2 - 3x + 3)
= 3(x - 2/3)(x2 - x + 1)

7 tháng 7 2019

a) 4x - 2x + 3 - 4x.(x - 5) = 7x - 3

--> 4x2 - 2x + 3 - 4x2 + 20x = 7x - 3

--> 4x2 - 2x - 4x2 + 20x - 7x = -3 - 3

--> 11x = -6

--> x = \(\frac{-6}{11}\)

b) -3x.(x - 5) + 5.(x - 1) + 3x2 = 4x

--> -3x2 + 15x + 5x - 5 + 3x2 = 4x

--> -3x + 15x + 5x + 3x2 - 4x = 5 

--> 16x = 5

--> x = \(\frac{5}{16}\)

c) 7x.(x - 2) - 5.(x - 1) = 21x2 - 14x2 + 3

--> 7x2 - 14x - 5x + 5 = 7x2 + 3 

--> 7x - 14x - 5x - 7x2  = -5 + 3 

--> -19x = -2 

--> x = \(\frac{2}{19}\)

d) 3.(5x - 1) - x.(x - 2) + x2 - 13x = 7

--> 15x - 3 - x2 + 2x + x2 - 13x = 7

--> 15x - x2 + 2x + x2 - 13x = 3 + 7

--> 4x = 10

--> x = \(\frac{5}{2}\)

e) \(\frac{1}{5}\)x.(10x - 15) - 2x.(x - 5) = 12

--> 2x2 - 3x - 2x2 + 10x = 12

--> 7x = 12

--> x = \(\frac{12}{7}\)

~ Học tốt ~

4 tháng 7 2019

a) 4x2 - 2x + 3 - 4x(x - 5) = 7x - 3

=> 4x2 - 2x + 3 - 4x2 + 20x = 7x - 3

=> 18x + 3 = 7x - 3

=> 18x - 7x = -3 - 3

=> 11x = -6

=>  x = -6/11

b) -3x(x - 5) + 5(x - 1) + 3x2 = 4x

=> -3x2 + 15x + 5x - 5 + 3x2 = 4x

=> 20x - 5 = 4x

=> 20x - 4x = 5

=> 16x = 5

=> x = 5/16

\(c,7x\left(x-2\right)-5\left(x-1\right)=21x^2-14x^2+3\)

\(\Leftrightarrow7x^2-14x-5x+5=7x^2+3\)

\(\Leftrightarrow7x^2-7x^2-19x=3-5\)

\(\Leftrightarrow-19x=-2\)

\(\Leftrightarrow x=\frac{2}{19}\)

4: \(3x^3-5x^2+5x-2\)

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

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

\(=\left(3x-2\right)\left(x^2-x+1\right)\)

5: \(5x^3-12x^2+14x-4\)

\(=5x^3-2x^2-10x^2+4x+10x-4\)

\(=\left(5x-2\right)\left(x^2-2x+2\right)\)

16 tháng 1 2017

3x+ 10x +3

=> 3x+ 9x +x +3

=> (3x+x )+ ( 9x +3)

=> x(3x +1) +3( 3x+1)

=>(3x+1) (x+3)

Tự làm tiếp nhé

a, ta có: 3x^2 +10x+3= 3x^2 + 9x +x +3 = 3x(x+3)+(x+3)=(x+3)+(3x+1)

2 câu còn lại đang trong qtrinhf suy nghĩ

17 tháng 8 2020

a, \(12-2\left(1-x\right)^2=\left(3x-2\right)\left(2x-3\right)\)

\(< =>12-2\left(1-2x+x^2\right)=6x^2-9x-4x+6\)

\(< =>12-2+4x-2x^2=6x^2-13x+6\)

\(< =>10+4x-2x^2-6x^2+13x-6=0\)

\(< =>-8x^2+17x+4=0< =>\orbr{\begin{cases}x=\frac{17-\sqrt{417}}{16}\\x=\frac{17+\sqrt{417}}{16}\end{cases}}\)

b, \(10x+3-5x=4x+12< =>5x+3-4x-12=0\)

\(< =>x-9=0< =>x=9\)

c, \(11x+42-2x=100-9x-22< =>9x+42-100+9x+22=0\)

\(< =>18x+64-100=0< =>18x-36=0< =>x=\frac{36}{18}=2\)

d, \(2x-\left(3-5x\right)=4\left(x+3\right)< =>2x-3+5x=4x+12\)

\(< =>7x-3-4x-12=0< =>3x-15=0< =>x=\frac{15}{3}=5\)

e, \(2\left(x-3\right)+5x\left(x-1\right)=5x^2< =>2x-6+5x^2-5=5x^2\)

\(< =>2x-11+5x^2-5x^2=0< =>2x-11=0< =>x=\frac{11}{2}\)

f, \(-6\left(1,5-2x\right)=3\left(-15+2x\right)< =>-6\left(\frac{3}{2}-2x\right)=3\left(2x-15\right)\)

\(< =>-9+12x-6x+45=0< =>6x+36=0< =>x=-6\)

g, \(14x-\left(2x+7\right)=3x+12x-13< =>14x-2x-7=15x-13\)

\(< =>12x-7-15x+13=0< =>-3x+6=0< =>x=-2\)

h, \(\left(x-4\right)\left(x+4\right)-2\left(3x-2\right)=\left(x-4\right)^2\)

\(< =>x^2-16-6x+4=x^2-8x+16\)

\(< =>x^2-6x-12-x^2+8x-16=0\)

\(< =>2x-28=0< =>x=\frac{28}{2}=14\)

q, \(4\left(x-2\right)-\left(x-3\right)\left(2x-5\right)=?\)thiếu đề