数学因式分解解10x²+10y²-12xy+80=2008

1.计算:(2x-5y)²(5x+2y)² 2.因式分解:(x²-2x)²-11(x²-2x)-24_百度知道
1.计算:(2x-5y)²(5x+2y)² 2.因式分解:(x²-2x)²-11(x²-2x)-24
因式分解,1, 2,(x&#178,(2x-5y)&#178,-2x)&#178,-2x)-24,(5x+2y)&#178,-11(x&#178,计算,
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- 21XY + 10Y&#178,=(10X&#178,,=[ (2X-5Y)(5X+2Y)]&#178,Y&#178,-420xy^3+100y^4 (x^2+2x)^2-11(x^2+2x)+24令x^2+2x=t原式=t^2-11t+24
=t^2-(8+3)t+8*3
=(t-3)(t-8)
=(x^2+2x-3)(x^2+2x-8)
=[x^2+(3+(-1))x+3*(-1)][x^2+(4+(-2))x+4*(-2)]
=(x-1)(x+3)(x-2)(x+4),(5X+2Y)&#178,=100x^4 -420yx^3+641X&#178,)&#178,,(2X-5Y)&#178,
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其他2条回答
(1)100X4+241X2Y2-420X3Y-420XY3+100Y4(2)(X-3)(X+1)(X-4)(X+2)-48,
1.(2X-5Y)²(5X+2Y)²=(4X²-25Y²)(25X²+4Y²)=100X²+16X²Y²-625X²Y²-600Y²=100X²-609X²Y²-600Y²2.X四次方-4X²-11X²+22X-24=X四次方-15X²+22X-24
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出门在外也不愁求10道简单二元二次方程组数学题目及其答案,10道二元一次方程组及答案。10道不等式及答案。_百度知道
求10道简单二元二次方程组数学题目及其答案,10道二元一次方程组及答案。10道不等式及答案。
10道二元一次方程组及答案。10道不等式及答案。,求10道简单二元二次方程组数学题目及其答案,
提问者采纳
18,7或者x=-4根号7&#47,=21①由2xy=20得xy=10②①×10-21×②,4
6,①和④,1解,5-x&lt,7或者x=-4根号7&#47,4解,-3(x-y)+2=0(x-y-1)(x-y-2)=0x-y=1或2所以组成4个方程组x+y=3,如上所说2,①组成的方程组无解由④可得x=(2&#47,-x&#178,-6-8
4,x^2-5x-y^2-5y=0x^2+xy+y^2=49根据式子1得知(x-2,y^2=12
由此可得,可得10y&#178,=21或2y-5x=0,y=-5&#47,7y=±根号7&#47,2x+4x&lt,22,y=-5&#47,3x &gt,y=-57,3y-6+1&lt,2 ,2或x=(-√85+√5)&#47,y=-1如果x=-4y代入式子16y^2+4y^2+y^2=3y^2=1&#47,6-2
2a&gt,y=5或x=5,5)^2解得x-y=5或者x+y=01,x+y为方程x^2-11x+30=0两个根(x-5)(x-6)=0xy=5,x&#178,3,5 ,+y&#178,7或者x=2,1解,若x-y=5那带入2式,=21由③可得x=-(5&#47,y=1x=5&#47,,x^2=18
所以,5-5&lt,5-1&lt,5
x&lt,y=1或x=2设y=1,y=1&#47,x
a&gt,6a-7a&lt,2(x-2)&gt,x
x&gt,2x&lt,x^2-2xy-y^2=1 ,-2y&#178,10
2,y=-根号7&#47,x+y=5x,y=0x=10&#47,3O
x&gt,7综上x=4根号7&#47,小芷芊
x + 2y = 0
x^2 + xy + y^2 + 5y = 0
最佳答案 x=-2y代入4y&#178,1-1O+18
-3x&lt,18次悬赏分,8
x&gt,y&#178,2)×y⑤将⑤代入①得-(21&#47,3(y-2)+1&lt,y=-根号7&#47,得(5y+2x)×(2y-5x)=0所以5y+2x=0③或2y-5x=0④则可化为③,1&#47,x+y=6或xy=6,4,x-y=1x+y=3,2 5, 解决时间,O,x=75 y=48 (7) 47x-40y=853 34x-y=2006 答案,7,x + 2y = 0
(1) x^2 + xy + y^2 + 5y = 0
(2)二元二次方程解(要过程) 浏览次数,4)y&#178,x^2-xy+y^2=3,①的两个同解方程组即5y+2x=0,得y^2+5y-8=0,1
x&lt,y=-14,y可取7和-7那x分别为-7和7一共4组解,1-4x解,y=3或x=3,61O,x=50 y=98 (10) 42x+85y=6362 63x-y=1638 答案,x=80 y=59 (6) 42x-95y=-1410 21x-y=1575 答案,y=1或者x=-2,x-y=1x+y=-3,x=±18,1
x&lt,2x对应分别为[5+根号89]&#47,2,=-21得y&#178,4+4
2x&gt,x2+y2x2+y2+2xy=9(x+y)&#178,y=3或x=3,2,42 ,-x&#178,7,=21所以y=5或-5将y=5代入⑥得x=2将y=-5代入⑥得x=-2综上可知方程组的解为x=2,y=根号7&#47,x=59 y=48 (8) 19x-32y=-1786 75x+y=4950 答案,100-70
3x&gt,5y代入x^2-2xy-y^2=1中解得y=±√2&#47,2x^2-2y^2=12
由(2)-(3)得,23,-3
3,=9x+y=3或-3(x-y)2-3x+3y+2=0(x-y)&#178,2
y=(√85+√5)&#47,2+2a&gt,xy+x+y=11 x^2y+xy^2=30 xy(x+y)=30xy,2或x=-(√85+√5)&#47,-x&#178,5
9,xy-2y-x+2=(x-2)y-(x-2)=0,y=2x=-1&#47,求Δ=5^2+4X2X8=89求出y有2个根,31) 66x+17y=396725x+y=1200 答案,7x=4根号7&#47,-y&#178,分别是[-5+根号89]&#47,但我找的很辛苦呢~~望采纳啊,2
y=-(√85-√5)&#47,5y中解得x=±3√2&#47,y&#178,x-y=2x+y=-3,x-3解,y=-5&#47,5-x解,y=5或x=-2, 提问者,5)×y⑥将⑥代入①得(21&#47,y2=1
x3=2,则x^2-3xy+5y-5=4-6y+5y-5=0,1
-3x&lt,2&lt,2x-4&gt,2x=-1,1,x+y=51)xy=5,-2+6-1
3y&lt,10-3(x+6)&lt,+5y=0y(3y+5)=0y=0,=0所以y=0与xy=10矛盾所以③,2和[5-根号89]&#47,x^2-y^2=6
2x^2+3y^2=72
由(1)*2得,x=66 y=95 (9) 97x+24y=7202 58x-y=2900 答案,2x&lt,x=26 y=62 1,则x^2-3xy+5y-5=x^2-3x+5-5=x^2-3x=x*(x-3)=0所以x=0或x=3设x=2,6解,-21xy=0因式分解,2,,-2解,x=±3倍根号2
y=±2倍根号3 10,-10x&#178,y=2所以方程组解,5y^2=60
y=(-√85-√5)&#47, 2x-x&lt,y=1或x=2,y1=1
x2=3,1&#47,1O-3x-18&lt,x=79 y=48 (4) 76x-66y=4082 30x-y=2940 答案,x=98 y=51 (5) 67x+54y=8546 71x-y=5680 答案,,2和[-5-根号89]&#47,x+y=6x,x=27 y=79 (3) 44x+90y=7796 44x+y=3476 答案,y=1所以有x1=0,7,x=1,14
8,6a+8&lt,2x^2-xy-y^2=55x^2-5xy+5y^2=156x^2-3xy-3y^2=15两式子相减x^2+2xy-8y^2=0(x+4y)(x-2y)=0x=2y或者x=-4y当x=2y时代入第一个式子有4y^2-2y^2+y^2=33y^2=3y=±1此时x=2,x^2+y^2=45(x+y)^2-2xy=45(x+y)^2=85
x+y=±√85(x-y)^2+2xy=45(x-y)^2=5
x-y=±√5与x+y=±√85联立求解x=(√85+√5)&#47,y=5或x=5,y是方程x^2-5x+6=0两个根x=2,25)×y&#178,5)^2=(y+2,-2
3y&lt,y=±2代入x=3y
x= -0,3x=-2y所以x=0,7,-y&#178,-4,100解,,y是方程x^2-6x+5=0两个根x=1,y3=15,=-212xy=20由x&#178,9
y=(√85-√5)&#47,y=26,若x+y=0y^2=49,1 不知道是不是你要的,x=48 y=47 (2) 18x+23y=2303 74x-y=1998 答案,x-y=2所以x=2,2a&gt,y=12)xy=6,7a-6解,y=根号7&#47,4
a&gt,2+2xy=9 (x-y)2-3x+3y+2=09,y=1或者x=-2,3x+70&gt, 2x^2-5xy-3y^2=02x^2-5xy-3y^2=0 (x-3y)(2x+y)=0x=3y
x= -0,2或x=(√85-√5)&#47,
提问者评价
谢谢你拉、很好了。
参考资料:
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其他1条回答
2x-x&lt,x-3解,7或者x=-4根号7&#47,6-2
2a&gt,x=±18,如上所说2,2)×y⑤将⑤代入①得-(21&#47,①和④,1-1O+18
-3x&lt,1解,x^2-5x-y^2-5y=0x^2+xy+y^2=49根据式子1得知(x-2,x^2-y^2=6
2x^2+3y^2=72
由(1)*2得,-x&#178,①的两个同解方程组即5y+2x=0,y=-5&#47,7y=±根号7&#47,5
x&lt,22,小芷芊
x + 2y = 0
x^2 + xy + y^2 + 5y = 0
最佳答案 x=-2y代入4y&#178,x=50 y=98 (10) 42x+85y=6362 63x-y=1638 答案,25)×y&#178,1
x&lt,x^2-2xy-y^2=1 ,2或x=(-√85+√5)&#47,y=-1如果x=-4y代入式子16y^2+4y^2+y^2=3y^2=1&#47,4
4,x=1,5)^2解得x-y=5或者x+y=01,xy+x+y=11 x^2y+xy^2=30 xy(x+y)=30xy,y=26,+5y=0y(3y+5)=0y=0,x=±3倍根号2
y=±2倍根号3 10,42 ,y=根号7&#47,4
2x&gt,若x-y=5那带入2式,=21或2y-5x=0,x-y=2x+y=-3,-2+6-1
3y&lt,2x^2-2y^2=12
由(2)-(3)得,14
x&lt,5-x解,xy-2y-x+2=(x-2)y-(x-2)=0,x-y=2所以x=2,-3
-3x&lt,2a&gt,5-x&lt,-x
-x&gt,=21所以y=5或-5将y=5代入⑥得x=2将y=-5代入⑥得x=-2综上可知方程组的解为x=2, 18,100解,y=-根号7&#47,y=12)xy=6,+y&#178,3x+70&gt,7综上x=4根号7&#47, 解决时间,4
所以,4解,y&#178,y&#178,2x+4x&lt,y=-根号7&#47,-10x&#178,2x&lt,x+y为方程x^2-11x+30=0两个根(x-5)(x-6)=0xy=5,O,x2+y2x2+y2+2xy=9(x+y)&#178,6解,x + 2y = 0
(1) x^2 + xy + y^2 + 5y = 0
(2)二元二次方程解(要过程) 浏览次数,-14
a&gt,x=27 y=79 (3) 44x+90y=7796 44x+y=3476 答案,7,y^2=12
由此可得,-x&#178,x^2-xy+y^2=3,-21xy=0因式分解,得y^2+5y-8=0,5
9,y=1或者x=-2,y可取7和-7那x分别为-7和7一共4组解,-4,y是方程x^2-5x+6=0两个根x=2,1-4x解,x=80 y=59 (6) 42x-95y=-1410 21x-y=1575 答案,x=48 y=47 (2) 18x+23y=2303 74x-y=1998 答案,y=1或者x=-2,-3(x-y)+2=0(x-y-1)(x-y-2)=0x-y=1或2所以组成4个方程组x+y=3,y=±2代入x=3y
x= -0,4,1&#47,10
2,2x对应分别为[5+根号89]&#47,y=1&#47,-y&#178,2(x-2)&gt,5y中解得x=±3√2&#47,y=1或x=2,x-y=1x+y=-3,18次悬赏分,-x&#178,7或者x=-4根号7&#47,①组成的方程组无解由④可得x=(2&#47,y=根号7&#47,x=79 y=48 (4) 76x-66y=4082 30x-y=2940 答案,x=26 y=62 1,y=-57,y=-5&#47,23,2x&lt,2,2
y=(√85+√5)&#47,5-1&lt,y3=15,2或x=-(√85+√5)&#47,=-21得y&#178,5-5&lt,y=-14,2,求Δ=5^2+4X2X8=89求出y有2个根,3x=-2y所以x=0,7x=4根号7&#47,x&#178,分别是[-5+根号89]&#47,-2
y=-(√85-√5)&#47,5y代入x^2-2xy-y^2=1中解得y=±√2&#47,得(5y+2x)×(2y-5x)=0所以5y+2x=0③或2y-5x=0④则可化为③,=9x+y=3或-3(x-y)2-3x+3y+2=0(x-y)&#178,100-70
3x&gt,2x=-1,-6-8
-a&lt,5)×y⑥将⑥代入①得(21&#47,5 ,4)y&#178,y1=1
x2=3,则x^2-3xy+5y-5=x^2-3x+5-5=x^2-3x=x*(x-3)=0所以x=0或x=3设x=2,8
x&gt,6a-7a&lt,4
a&gt,y=1x=5&#47,1,x+y=6或xy=6,61O,2x-4&gt, 提问者,=21由③可得x=-(5&#47,2和[5-根号89]&#47,2,x=98 y=51 (5) 67x+54y=8546 71x-y=5680 答案,3x &gt,x=75 y=48 (7) 47x-40y=853 34x-y=2006 答案,y=1或x=2设y=1,x
4&lt,可得10y&#178,2 ,3y-6+1&lt,1
6x&lt,5y^2=60
推得,=21①由2xy=20得xy=10②①×10-21×②,y=3或x=3,2+2xy=9 (x-y)2-3x+3y+2=09,3(y-2)+1&lt,2
y=(-√85-√5)&#47,3O
x&gt,y=5或x=5,y=1所以有x1=0,7a-6解,4+4
2x&gt,y=-5&#47,31) 66x+17y=396725x+y=1200 答案,3
y&lt,2和[-5-根号89]&#47,x+y=51)xy=5,3,则x^2-3xy+5y-5=4-6y+5y-5=0,7,y=2所以方程组解,6a+8&lt,1解,2x^2-xy-y^2=55x^2-5xy+5y^2=156x^2-3xy-3y^2=15两式子相减x^2+2xy-8y^2=0(x+4y)(x-2y)=0x=2y或者x=-4y当x=2y时代入第一个式子有4y^2-2y^2+y^2=33y^2=3y=±1此时x=2,x^2+y^2=45(x+y)^2-2xy=45(x+y)^2=85
x+y=±√85(x-y)^2+2xy=45(x-y)^2=5
x-y=±√5与x+y=±√85联立求解x=(√85+√5)&#47,y是方程x^2-6x+5=0两个根x=1,x+y=5x,=0所以y=0与xy=10矛盾所以③,5)^2=(y+2,1&#47, 2x^2-5xy-3y^2=02x^2-5xy-3y^2=0 (x-3y)(2x+y)=0x=3y
x= -0,-2y&#178,7,=-212xy=20由x&#178,2&lt,x=66 y=95 (9) 97x+24y=7202 58x-y=2900 答案,1,x+y=6x,y2=1
x3=2,-y&#178,10-3(x+6)&lt,2
y=(√85-√5)&#47,y=3或x=3,若x+y=0y^2=49,-2解,y=0x=10&#47,x-y=1x+y=3,x
x&gt,y=5或x=5,1O-3x-18&lt,7,2 5,2+2a&gt,y=2x=-1&#47,7或者x=2,x=59 y=48 (8) 19x-32y=-1786 75x+y=4950 答案,y=5或x=-2,2或x=(√85-√5)&#47,
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出门在外也不愁若x=根号n+1-根号n/根号n+1+根号n,y=根号n+1+根号n/根号n+1-根号n 且10x^2+10y^2-12xy_百度知道
若x=根号n+1-根号n/根号n+1+根号n,y=根号n+1+根号n/根号n+1-根号n 且10x^2+10y^2-12xy
若x=根号n+1-根号n/根号n+1+根号n,y=根号n+1+根号n/根号n+1-根号n且10x^2+10y^2-12xy+80=2008 n=?
提问者采纳
x=根号n+1-根号n/根号n+1+根号n,y=根号n+1+根号n/根号n+1-根号nx=(√n+1-√n)/(√n+1+√n)y=(√n+1+√n)/(√n+1-√n)x+y=4n+2xy=110x²+10y²-12xy+80=200810x²+10y²+20xy-32xy=192810(x²+2xy+y²)-32xy=192810(x+y)²-32xy=192810(4n+2)²-32=192810(4n+2)²=1960(4n+2)²=196因为n&0所以4n+2&04n+2=√196=144n=12n=3
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