九州算术数学论坛's Archiver

85463295 发表于 2007-12-25 16:52

一元二次方程

一面这些方程用[P解法]来解是很容易的<br />&nbsp; &nbsp; 一。<br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 49x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 26x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 19x+ 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 16x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 14x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 47x-48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp; x^2 + 22x- 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 13x- 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp; x^2 + 8x- 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp; x^2 + 2x- 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp; 二。<br />&nbsp; &nbsp;&nbsp; &nbsp; x^2&nbsp;&nbsp;+480.1x + 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp; x^2 + 14.8x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 240.2x+ 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 22.4x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 160.3x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 31.6x+ 48 =0&nbsp;&nbsp;<br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp; x^2 + 120.4x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 41.2x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 60.8x+ 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 80.6x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 96.5x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 14.6x+ 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;三。<br />&nbsp; &nbsp;&nbsp; &nbsp; x^2 + 144(1/3)x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 240(1/5)x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp; x^2 + 336(1/7)x+ 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 72(2/3(x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 112(3/7)x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp; x^2 + 37(1/3)x+ 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;四。<br />&nbsp; &nbsp;&nbsp; &nbsp; x^2 + 15x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 17x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp; x^2 + 25x+ 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 33x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 42x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 37x+ 48 =0&nbsp;&nbsp;<br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;x^2 + 9x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp; x^2 + 13x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp;&nbsp;&nbsp;x^2 + 10x+ 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp; 五。r3 表示 3 的平方根<br />&nbsp; &nbsp;&nbsp; &nbsp; x^2 + (38+15r3)x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp;x^2 + (85+15r22)x+ 48 =0&nbsp; &nbsp;&nbsp;&nbsp;x^2 + (170+15r97)x+ 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp;&nbsp; &nbsp; x^2 +(65 + 11r21)x+ 48 =0&nbsp; &nbsp; x^2 + (104+11r61)x+ 48 =0 <br />&nbsp; &nbsp;&nbsp; &nbsp; 六。<br />&nbsp; &nbsp;&nbsp; &nbsp;x^2 + (13r17+11r13)49x+ 48 =0&nbsp; &nbsp;&nbsp; &nbsp; x^2 + (13r47+11r43)x+ 48 =0 <br />&nbsp; &nbsp; 用教科书中的方法解只能一题一题解,有些是很给解的。但用[P解法]却不费吹灰之力。<br>

页: [1]

Powered by Discuz! Archiver 7.0.0  © 2001-2007 Comsenz Inc.