a

\(x+x^2-x^3-x^4=0\\ \Leftrightarrow x\left(1+x\right)-x^3\left(1+x\right)=0\\ \Leftrightarrow\left(1+x\right)\left(x-x^3\right)=0\\ \Leftrightarrow\left(1+x\right).x.\left(1-x^2\right)=0\\ \Leftrightarrow\left(1+x\right).x.\left(1-x\right)\left(1+x\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\\x=-1\end{matrix}\right.\)

b

x^3 chứ: )

\(x^3+27+\left(x+3\right)\left(x-9\right)=0\\ \Leftrightarrow x^3+3^3+\left(x+3\right)\left(x-9\right)=0\\ \Leftrightarrow\left(x+3\right)\left(x^2-3x+9\right)+\left(x+3\right)\left(x-9\right)=0\\ \Leftrightarrow\left(x+3\right)\left(x^2-3x+9+x-9\right)=0\\ \Leftrightarrow\left(x+3\right)\left(x^2-2x\right)=0\\ \Leftrightarrow\left(x+3\right).x.\left(x-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=-3\\x=2\end{matrix}\right.\)

\(a,\Rightarrow2x^2-18x-2x^2=0\\ \Rightarrow-18x=0\Rightarrow x=0\\ b,\Rightarrow2x^2-5x-12+x^2-7x+10=3x^2-17x+20\\ \Rightarrow5x=22\Rightarrow x=\dfrac{22}{5}\)

2006 x [43 x 10 - 2 x 43 x 5] +100

=2006x0+100

=0+100

=100

64x4+18x4+9x8

=256+72+72

=400

44x5+18x10+20x5

=220+180+100

=500

3x4+4x6+9x2+18

=12+24+18+18

=72

2x5+5x7+9x3

=10+35+27

=72

15:5+27:5+8:5

=[15+27+8]:5

=10

99:5-26:5-14:5

=[99-26-14]:5

=11.8

Câu cuối sai đề nha mà nếu đề như vậy thì đó là toán lớp 6

Cảm ơn bạn I LOVE YOU rất nhiều mình đang vội ,cảm ơn bạn nhé!!!

Trả lời:

\(2006\times\left(43\times10-2\times43\times5\right)+100\)

\(=2006\times\left(43\times10-43\times10\right)+100\)

\(=2006\times0+100\)

\(=0+100\)

\(=100\)

\(44\times5+18\times10+20\times5\)

\(=44\times5+18\times2\times5+20\times5\)

\(=44\times5+36\times5+20\times5\)

\(=5\times\left(44+36+20\right)\)

\(=5\times100\)

\(=500\)

\(3\times4+4\times6+9\times2+18\)

\(=12+24+18+18\)

\(=12+24+36\)

\(=72\)

\(2\times5+5\times7+9\times3\)

\(=5\times\left(2+7\right)+9\times3\)

\(=5\times9+9\times3\)

\(=9\times\left(5+3\right)\)

\(=9\times8\)

\(=72\)

\(15\div5+27\div5+8\div5\)

\(=\left(15+27+8\right)\div5\)

\(=50\div5\)

\(=10\)

\(99\div5-26\div5-14\div5\)

\(=\left(99-26-14\right)\div5\)

\(=59\div5\)

\(=\frac{59}{5}\)

v

\(\dfrac{11}{4}-\dfrac{9}{8}=\dfrac{22-9}{8}=\dfrac{13}{8}+\dfrac{15}{12}=\dfrac{156+120}{96}=\dfrac{276}{96}\)

\(\dfrac{126}{84}+\dfrac{5}{3}=\dfrac{378+420}{252}=\dfrac{798}{252}\)

\(\dfrac{13}{18}:\dfrac{5}{9}=\dfrac{13.5}{18.9}=\dfrac{615}{162}-\dfrac{1}{1}=\dfrac{615-162}{162}=\dfrac{453}{162}\)

\(\dfrac{3}{9}+\dfrac{45}{12}=\dfrac{36+405}{108}=\dfrac{441}{108}\)

a,11/4−9/8+15/12

=    13/8    + 15/12 

=  276/96

= 29/8

b,6/7x21/12+5/3

=  126/84 +  5/3

=   798/252

=         

c,13/18:5/9−1

=   615/162- 1

=  453/162

d,3+9/4:3/5

=  3 + 45/12

= 441/108

1).( 27,56 x 35 ) + ( 27,56 x 67 ) - ( 27,56 x 2)

= (964 + 1846,52) - 55,12

=2810,52 - 55,12

= 2755,4

2).( 4x 35 ) x ( 25 x 5 ) x 2

= ( 140 x 125 ) x2

= 17500 x 2

=35000

4). 3/10

5). 1188

6).  61/6

1)2756   2)35000   3)0   4)3/10   5)10/1/6

1,2755,4

2,35000

3,0

4,\(\frac{3}{10}\)

5,1188

6,\(\frac{61}{6}\)

cho hỏi tập hợp các số tự nhiên ko vượt quá 50

1: x=3/4-1/2=3/4-2/4=1/4

2: x-1/5=2/11

=>x=2/11+1/5=21/55

3: x-5/6=16/42-8/56

=>x-5/6=8/21-4/28=5/21

=>x=5/21+5/6=15/14

4: x/5=5/6-19/30

=>x/5=25/30-19/30=6/30=1/5

=>x=1

5: =>|x|=1/3+1/4=7/12

=>x=7/12 hoặc x=-7/12

6: x=-1/2+3/4

=>x=3/4-1/2=1/4

11: x-(-6/12)=9/48

=>x+1/2=3/16

=>x=3/16-1/2=-5/16

1)x= 1/4

2)x= 2/11+ 1/5

   x= 21/55

3)x - 5/6 = 5/21

   x         = 5/21+5/6

   x         = 15/14

4)x/5 = 5/6 + -19/30

   x:5 = 1/5

   x    = 1/5.5

   x    = 1

5) |x| - 1/4 = 6/18

    |x|           = 6/18 - 1/4

    |x|            =7/12

⇒x= 7/12 hoặc -7/12

6)x = -1/2 +3/4

   x= 1/4

7) x/15 = 3/5 + -2/3

   x:15  = -1/15

  x        = -1/15. 15

  x        = -1

8)11/8 + 13/6 = 85/x  

       85/24      = 85/x

  ⇒      x           = 24

9) x - 7/8 = 13/12

   x          = 13/12 + 7/8

   x          = 47/24

10)x - -6/15 = 4/27  

     x            = 4/27 + (-6/15)

    x             = -34/135

11) -(-6/12)+x = 9/48

                    x= 9/48 - 6/12

                    x = -5/16

12) x - 4/6 = 5/25 + -7/15

      x -4/6  =  -4/15

     x           = -4/15 + 4/6

    x             = 2/5

Bài 2:

Sau 2 giờ con ốc sên bò được:

1/5+1/6=11/30(cây cột)

Sau 2 giờ thì con ốc sên còn phải bò:

1-11/30=19/30(cây cột)

Hướng dẫn giải:

a) 5 x (10 + 9)

Cách 1:

5 x (10 + 9) = 5 x 19 = 95

Cách 2:

5 x (10 + 9) = 5 x 10 + 5 x 9 = 50 + 45 = 95

b) 10 x (30 + 5)

Cách 1:

10 x (30 + 5) = 10 x 35 = 350

Cách 2:

10 x (30 + 5) = 10 x 30 + 10 x 5 = 300 + 50 = 350

Hướng dẫn giải nè :

a) 5 x (10 + 9)

Cách 1:

5 x (10 + 9) = 5 x 19 = 95

Cách 2:

5 x (10 + 9) = 5 x 10 + 5 x 9 = 50 + 45 = 95

b) 10 x (30 + 5)

Cách 1:

10 x (30 + 5) = 10 x 35 = 350

Cách 2:

10 x (30 + 5) = 10 x 30 + 10 x 5 = 300 + 50 = 350