《一元n次方程破解》石泉，郑良飞著|(epub+azw3+mobi+pdf)电子书下载

图书名称：《一元n次方程破解》

【作　者】石泉，郑良飞著

【丛书名】数学难题解难

【页 数】 106

【出版社】 北京：国防工业出版社 , 2014.11

【ISBN号】978-7-118-09764-1

【价 格】42.00

【分 类】一元方程-高次方程-方程解

【参考文献】 石泉，郑良飞著. 一元n次方程破解. 北京：国防工业出版社, 2014.11.

图书封面：

图书目录：

《一元n次方程破解》内容提要：

本书介绍一元n次方程破解问题。

《一元n次方程破解》内容试读

第1章

方程每项根与系数关系的结构

.1

一元2~10、次方程每项根与系数关系的结构（实根）

一、一元2次方程

x2+(x1+x2)x+x1x2=0(x2+a2x+e2=0,e2=x1x2≠0)根的范围：x1.2≤e2,x1.2≤(a2÷2)

二、一元3次方程

x3+(x1+x2+x3)x2+(x1x2+x1x3+x2x)x+x1x2x3=0(x3+a3x2+b3x+e3=0,e=x

·x2x3≠0)

根的范围：x,≤g,x≤√，x,≤(@÷2)，x≤(a÷3),(i=1,2,3)

三、一元4次方程

x+(x+名2+为+x）x+(名名+1x3+x1x4+23+x2x4+名3x4)x2+(x1x2名+x++x)x+xx=0

(x+ax+bx+cax+ea=0,ea=x0)

根的范围：x,≤e4,x,≤e4,x,≤e4,x,≤(a4÷3),x≤(a4÷4),x,≤(a4÷5),(i=1,2,3,4)

四、一元5次方程

x3+[(x1+x2+x3+x4+x5(=a5)]x+（x1x2+x1x3+x1x4+x1x5+x23+x2x4+x2x5+x3x4+x1x5+x4x5)x+（x1x2x3+x1x24+x12x5+x1x3x4+x1x35+x1x4x5+x2无34+x2x3x5+32x4x5+x34x5）x2+(x12x3x4+xx2x3x5+x1xx4x5+x1x3x4x5+x23x4x5）x+x1x2xx4x5=0（x1x2x3x4x5=e5≠0)

(x3+a5x+bx3+c5x2+dx+e5=0,e50)

根的范围：x,≤e,x,≤e,xg,x,≤e,,≤(a5÷3或÷4或÷5或÷6)，(i=1,

2.3,4,5)

五、一元6次方程

x+(x+名2+名+x4+5+6)x3+(x南+名西+x14+x1名+x6+为十x24+x5+x6+x4+xx5+无6+45+x6+x56）x+(123+x124+x名35+名名26+x1x34+xxx++x++xxxxxxxxs +x2xx6+x2x4x5+xxx6+x2xsx6+x45+x3x4x6+名3x56+无45x6)x3+(x1x2x34+x23西5+名x236+无1x24x5+x246+

1

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X1X2X3x4x5%6=0

(x+ax+bsx+cox+dox'+eox+f=06=xx2x3xaxsx60)

根的范围：x,≤，x,≤，x,≤，x,≤，x,≤(6÷4)，x,≤(a6÷5),x,≤(a6÷6),x:≤(a6÷7)

六、一元7次方程

x-ax+bx-cx+dx-ex2+fx-g=0(g70)

(1)

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(2)

七、一元8次方程

x8-(（x1+x2+x3+x4+x5+x6+x7+xg)x+（x1花2+xx3+x14+1x5+x1x6+x1七)+x1x8+x2x3+x2x4+x2t5+x2x6+x2x7+x2x8+x3x4+x3x5+x3x6+x3x7+x3x8+x4x5+x4x6+x4x7+x4x8+x5x6+x5,+58+x6x7+x6g+x7xg）x5-(无1x23+x1x2x4+名1x25+x1x2x6+xx2x2x8xx5xx3xxx8xx4x5xxxx8+xx5x6+x1x5x7+x1x5x8+x1x6x7+x1x6X8+x1xx8+x2x3x4+x2x3x5 +x2x3x6+x2x3x7+x2x3x8+x2x4x5x6xxx2x4x8+x2xsx6x2xxx2xxx8x2xx8xx4x5+x3x4x6+x3x4x7+x3x4x8 +x3xsx6 +x3xsx7+x3xsx8 +x3x6x7+x3x6x8+xx7x8+x4xsx6 +x4x5x7+xsxgxxx+xsxx8+xsxxx)x+XX2xx2Xx8xxxxX6xxxxxxx2xx1x2x58+七1*2x67+x12x6xg+x1x2xxg+x1x3x4x5+x1x3x4x6+x1x3x4x7+x1x3x4X8+x1x3x5x6+xxxxxxxxx3xxxxxxxxxxxaxsxxx6x7xX4X6x8xxx6xxxsx6x8xxxxx6x7x8x2xx4xxxx6x2xx2x3x4x8+2*356十2x35x7十2*3x5g+23x6x7+七23x6x8+x23x7xg+x245x6+x2x4x5x7+x2x4x58+x24x6x7+七2x4x6x8+七2x4xxg+x2x567+x2x5x6g+x2七5七xg+x2X6七xg+x3x45X6+x3xxxxxxgxxxxx68xxxxxxxx8xxxxx+2

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名6+名4名+为464+名名名十x346+名3名5x6名7名+x出68）x2+

(xxxxxsx6+xxxxxxxxsxxxxxx4X6x+xxxxxx2xx5X6Xxxxxx6x8xxxX2Xx6xxxxsx6x8xx2xxsxx8xxxx6xx8xxxX6xx8xxxxx6Xxxxx6x8xxxxxxxxx6xx8xxxx6xx8xxx6xx846+24568+3x4tg+x246Xg+无356名7g+2无4x3+无35xxg）x-(xX2Xxxx2x3xx6xxX6xxx3x6x2xsxxsxoxx8)x+xs6xx=0（x1x2x3x4x5x6x7xg≠0)

(1)

八、一元9次方程

x-agx+box'-cox+dox-eox+fx-gox2 +hox-io =0(i0)

(1)

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