P= [(x-4) / (√x+2)] + [(x+3√x) / √x]
Những câu hỏi liên quan
Phân tích đa thức thành nhân tử:
1.45+x^3-5*x^2-9*x
2.x^4-2*x^3-2*x^2-2*x+3
3.x^4-5*x^2+4
4.x^4+64
5.x^5+x^4+1
6.(x^2+2*x)*(x^2+2*x+4)+3
7.(x^3+4*x+8)^2+3*x*(x^2+4*x+8)+2*x^2
8. x^3*(x^2-7)^2-36*x
9.x^5+x+1
10. x^8+x^4+1
11. x^5-x^4-x^3-x^2-x-2
12. x^9-x^7-x^6-x^5+x^4+x^3+x^2-1
13. (x^2-x)^2-12*(x^2-x)+24
1, \(45+x^3-5x^2-9x=9\left(5-x\right)+x^2\left(x-5\right)\)
\(=\left(9-x^2\right)\left(x-5\right)=\left(3-x\right)\left(x+3\right)\left(x-5\right)\)
3, \(x^4-5x^2+4\)
Đặt \(x^2=t\left(t\ge0\right)\)ta có :
\(t^2-5t+4=t^2-t-4t+4=t\left(t-1\right)-4\left(t-1\right)\)
\(=\left(t-4\right)\left(t-1\right)=\left(x^2-4\right)\left(x^2-1\right)=\left(x-2\right)\left(x+2\right)\left(x-1\right)\left(x+1\right)\)
`Answer:`
1. `45+x^3-5x^2-9x`
`=x^3+3x^2-8x^2-24x+15x+45x`
`=x^2 .(x+3)-8x.(x+3)+15.(x+3)`
`=(x+3).(x^2-8x+15)`
`=(x+3).(x^2-5x-3x+15)`
`=(x-3).(x-5).(x-3)`
2. `x^4-2x^3-2x^2-2x-3`
`=x^4+x^3-3x^3+x^2+x-3x-3`
`=x^3 .(x+1)-3x^2 .(x+1)+x.(x+1)-3.(x+1)`
`=(x+1).(x^3-3x^2+x-3)`
`=(x+1).[x^3 .(x-3).(x-3)]`
`=(x+1).(x-3).(x^2+1)`
3. `x^4-5x^2+4`
`=x^4-x^2-4x^2+4`
`=x^2 .(x^2-1)-4.(x^2-1)`
`=(x^2-1).(x^2-4)`
`=(x-1).(x+1).(x-2).(x+2)`
4. `x^4+64`
`=x^4+16x^2+64-16x^2`
`=(x^2+8)^2-16x^2`
`=(x^2+8-4x).(x^2+8+4x)`
5. `x^5+x^4+1`
`=x^5+x^4+x^3-x^3+1`
`=x^3 .(x^2+x+1)-(x^3-1)`
`=x^3 .(x^2+x+1)-(x-1).(x^2+x+1)`
`=(x^2+x+1).(x^3-x+1)`
6. `(x^2+2x).(x^2+2x+4)+3`
`=(x^2+2x)^2+4.(x^2+2x)+3`
`=(x^2+2x)^2+x^2+2x+3.(x^2+2x)+3`
`=(x^2+2x+1).(x^2+2x)+3.(x^2+2x+1)`
`=(x^2+2x+1).(x^2+2x+3)`
`=(x+1)^2 .(x^2+2x+3)`
7. `(x^3+4x+8)^2+3x.(x^2+4x+8)+2x^2`
`=x^6+8x^4+16x^3+16x^2+64x+64+3x^3+12x^2+24x+2x^2`
`=x^6+8x^4+19x^3+30x^2+88x+64`
8. `x^3 .(x^2-7)^2-36x`
`=x[x^2.(x^2-7)^2-36]`
`=x[(x^3-7x)^2-6^2]`
`=x.(x^3-7x-6).(x^3-7x+6)`
`=x.(x^3-6x-x-6).(x^3-x-6x+6)`
`=x.[x.(x^2-1)-6.(x+1)].[x.(x^2-1)-6.(x-1)]`
`=x.(x+1).[x.(x-1)-6].(x-1).[x.(x+1)-6]`
`=x.(x+1).(x-1).(x^2-3x+2x-6).(x^2+3x-2x-6)`
`=x.(x+1).(x-1).[x.(x-3)+2.(x-3)].[x.(x+3)-2.(x+3)]`
`=x.(x+1)(x-1).(x-2).(x+2).(x-3).(x+3)`
9. `x^5+x+1`
`=x^5-x^2+x^2+x+1`
`=x^2 .(x^3-1)+(x^2+x+1)`
`=x^2 .(x-1).(x^2+x+1)+(x^2+x+1)`
`=(x^2+x+1).(x^3-x^2+1)`
10. `x^8+x^4+1`
`=[(x^4)^2+2x^4+1]-x^4`
`=(x^4+1)^2-(x^2)^2`
`=(x^4-x^2+1).(x^4+x^2+1)`
`=[(x^4+2x^2+1)-x^2].(x^4-x^2+1)`
`=[(x^2+1)^2-x^2].(x^4-x^2+1)`
`=(x^2-x+1).(x^2+x+1).(x^4-x^2+1)
11. ` x^5-x^4-x^3-x^2-x-2`
`=x^5-2x^4+x^4-2x^3+x^3-2x^2+x^2-2x+x-2`
`=x^4 .(x-2)+x^3 ,(x-2)+x^2 .(x-2)+x.(x-2)+(x-2)`
`=(x-2).(x^4+x^3+x^2+x+1)`
12. `x^9-x^7-x^6-x^5+x^4+x^3+x^2-1`
`=(x^9-x^7)-(x^6-x^4)-(x^5-x^3)+(x^2-1)`
`=x^7 .(x^2-1)-x^4 .(x^2-1)-x^3 .(x^2-1)+(x^2-1)`
`=(x^2-1).(x^7-x^4-x^3+1)`
`=(x-1)(x+1)(x^3-1)(x^4-1)`
`=(x-1)(x+1)(x^2+x+1)(x-1)(x^2-1)(x^2+1)`
`=(x-1)^2 .(x+1)(x^2+x+1)(x-1)(x+1)(x^2+1)`
`=(x-1)^3 .(x+1)^2 .(x^2+x+1)(x^2+1)`
13. `(x^2-x)^2-12(x^2-x)+24`
`=[ (x^2-x)^2-2.6(x^2-x)+6^2]-12`
`=(x^2-x+6)^2-12`
`=(x^2-x+6-\sqrt{12})(x^2-x+6+\sqrt{12})`
1 x 2 = ?
1 x 2 x 3 = ?
1 x 2 x 3 x 4 = ?
1 x 2 x 3 x 4 x 5 = ?
1 x 2 x 3 x 4 x 5 x 6 = ?
1 x 2 x 3 x 4 x 5 x 6 x 7 = ?
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 = ?
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 = ?
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = ?
1x2= 2 1x2x3=6 1x2x3x4=24 1x2x3x4x5=120 1x2x3x4x5x6=720 1x2x3x4x5x6x7=5040
1x2x3x4x5x6x7x8=40320 1x2x3x4x5x6x7x8x9=362880 1x2x3x4x5x6x7x8x9x10=3628800
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1 x 2 = 2
1 x 2 x 3 = 6
1 x 2 x 3 x 4 = 24
1 x 2 x 3 x 4 x 5 = 120
1 x 2 x 3 x 4 x 5 x 6 = 720
1 x 2 x 3 x 4 x 5 x 6 x 7 = 5040
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 = 40320
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 = 362880
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 3628800
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1 . 2 = 2
1 .2 .3 = 6
1 .2 .3 .4 = 24
1 .2 .3 .4 .5 = 120
1 .2 .3 .4 .5 .6 = 720
1 .2 .3 .4 .5 .6 .7 = 5040
1 .2 .2 .4 .5 .6 .7 .8 = 40320
1 .2 .3 .4 .5 .6 .7 .8 .9 =362880
1 .2 .3 .4 .5 .6 .7 .8 .9 .10 = 3628800
hok tốt
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23 tháng 3 2020 lúc 13:57
Giải phương trình:
1. (x - 5)2 + (x + 3)2 = 2(x - 4)(x + 4) - 5x + 7
2. (x + 3)(x - 2) - 2(x + 1)2 = (x - 3)2 - 2x2 + 4x
3. (x + 1)3 - (x + 2)(x - 4) = (x - 2)(x2 + 2x + 4) + 2x2
4. (x - 2)3 + (x - 5)(x + 5) = x(x2 - 5x) - 7x + 3
5. (x + 4)(x2 - 4x + 16) - x(x - 4)2 = 8(x - 3)(x + 3)
chung minh:
(x+2)(x-2)(x^2+4)=x^4-16
(x^2-xy+y^2)(x+y)=x^3+y^3
(x^2-3x+9)(3-x)=27-x^3
(x^3+x^2y+xy^2+y^3)(x-y)=x^4-y^4
a)
\(VT=\left(x^2-2^2\right)\left(x^2+4\right)\)
\(=\left(x^2-4\right)\left(x^2+4\right)\)
\(=\left(x^2\right)^2-4^2\)
\(=x^4-16\)
\(=VP\)
b)
\(VT=x^3+x^2y-x^2y-xy^2+xy^2+y^3\)
\(=x^3+y^3\)
\(=VP\)
( x + 2 )( x - 2 )( x2 + 4 )
= ( x2 - 4 )( x2 + 4 ) ( xài HĐT a2 - b2 = ( a - b )( a + b ) nhé ^^ )
= x4 - 16 ( đpcm )
( x2 - xy + y2 )( x + y )
= x3 + x2y - x2y - xy2 + xy2 + y3
= x3 + y3 ( đpcm )
1) 54 : x - x : x = 3 x 2 - 1
2) 42 : x + x - x = 4 x 3 - 4
3) 24 : x - 2 x 4 = 24 - 2 x 3 x 4
1, 54 : x - 1 = 5
54 : x = 5+1 = 6
x = 54 : 6 = 9
2, 42 : x + 0 = 8
x = 42 : 8 = 21/4
3, 24 : x - 8 = 0
24 : x = 0 + 8 = 8
x = 24 : 8 = 3
Tk mk nha
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1) 54:x-x:x=3x2-1
54:x- 1 =6-1
54:x- 1=5
54:x =6
x=54:6=9
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tìm chữ số tận cùng của A biết :
A = 1 x 2 + 1 x 2 x 3 + 1 x 2 x 3 x 4 + 1 x 2 x 3 x 4 x 5 + 1 x 2 x 3 x 4 x 5 x 6 +.......+ 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x...x 100 + ( 1 + 2 + 3 + 4 + 5 + 6 + 9 + 1 )
Phân tích thành nhân tử
1) (x-1) (x+2) (x+3) (x-6) + 32x^2
2) (x+1) (x-4) ( x+2) ( x-8) +4x^2
3) ( x - 2) ( x-3) ( x-6) (x-4) - 75x^2
4) (x+3)(x-1)(x-5)(x+15)+64x^2
5) (x+2)(x-4)(x+6)(x-12)+36x^2
6) (x-2)(x-4)(x-5)(x-10)-54x^2
huyển vế:
(x-2)(x-6)(x-3)(x-4)- 72X^2
(x-2)(x-6)
= (x^2 - ... +12)
số giữa:
-6x -2x = -8x
(x-3)(x-4)
= (x^2 ... +12)
số giữa:
-4x -3x = -7x
nhân 2 số giữa với nhau:
(-8x)(-7x) = +56x^2
-72x^2 +56x^2 = -16x^2 = (-16x)(x)
Đáp số:
(x^2 -16x +12)(x^2 +x +12)
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giải các phương trình hệ phương trình sau :
1, ( 2x-1)4 + ( 2x + 3 ) 4 626
2, (3x + 2 ) 4 + ( 3x +4)4 16
3, 16( x - 1 )4 + (2x +3 )4 2
4 , 256( x - 2 )4 + ( 4x + 2 ) 4 2
5 , ( x - 2 ) ( x - 1 ) ( x + 3 ) (x + 4 ) 24
6 , ( x2 + 3x +2 ) ( x2 + 7x + 12 ) 24
7 ( x2 - 1 ) ( x + 3 ) ( x + 5 ) 9
8 , x ( x2 - 4 ) ( x + 4 ) 18
9 , ( x2 - 3x + 2 ) ( x2 - 9x +20 ) 4
10 , ( x+1 ) ( x + 2 ) ( x + 3 ) ( x + 4 ) 3
11,( x + 4 ) ( x+ 5 ) ( x + 7 ) ( x + 8 ) 4
12 , x ( x + 1 ) (...
Đọc tiếp
giải các phương trình hệ phương trình sau :
1, ( 2x-1)4 + ( 2x + 3 ) 4 = 626
2, (3x + 2 ) 4 + ( 3x +4)4 = 16
3, 16( x - 1 )4 + (2x +3 )4 = 2
4 , 256( x - 2 )4 + ( 4x + 2 ) 4 = 2
5 , ( x - 2 ) ( x - 1 ) ( x + 3 ) (x + 4 ) =24
6 , ( x2 + 3x +2 ) ( x2 + 7x + 12 ) = 24
7 ( x2 - 1 ) ( x + 3 ) ( x + 5 ) = 9
8 , x ( x2 - 4 ) ( x + 4 ) = 18
9 , ( x2 - 3x + 2 ) ( x2 - 9x +20 ) = 4
10 , ( x+1 ) ( x + 2 ) ( x + 3 ) ( x + 4 ) = 3
11,( x + 4 ) ( x+ 5 ) ( x + 7 ) ( x + 8 ) = 4
12 , x ( x + 1 ) ( x + 2 ) ( x + 3 ) = 4
1, tìm x :
a) (x+2).(x+3)-(x-2).(x+5)=0
b) (2x+3).(x-4)+(x-5).(x-2)=(x-4).(3x-5)
c) (3x-5).(7-5x)-(5x+2).(2-3x)=3
d)(x-7).(x+7)-(x-4)2-x=10+3
e) (x+1/2)2-(x-1).(x+1)=2x-1
2, Thu gọn :
a) (x+5)2-(3-x)2-2(x-4).(x+4)
b)4(x-1)2+(2x+3)2-8(x-2)(x+2)
|x+1|+|x+3|=4
2|x+2|+|4-x|=11
|x-2|+|x-3|+|x-4|=2
|x+1|+|x+2|+|x+3|+|x+4|=4x