|
ÊÁѤÃÊÁÒªÔ¡ | ¤ÙèÁ×Í¡ÒÃãªé | ÃÒª×èÍÊÁÒªÔ¡ | »¯Ô·Ô¹ | ¢éͤÇÒÁÇѹ¹Õé | ¤é¹ËÒ |
|
à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ | ¤é¹ËÒã¹ËÑÇ¢é͹Õé |
#1
|
|||
|
|||
ãËé¾Ç¡¾Õèæà©Å áÅк͡ÇÔ¸Õ¤Ô´ ãËé˹èͤÃѺ
1.máÅÐnà»ç¹¨Ó¹Ç¹àµçÁºÇ¡áÅéÇËÒôéÇÂ7áÅéÇàËÅ×ÍàÈÉ3áÅÐ5µÒÁÅӴѺ´Ñ§¹Ñé¹ m¡ÓÅѧ2-mn+n¡ÓÅѧÊͧ ¶Ù¡ËÒôéÇÂ7¨ÐàËÅ×ÍàÈÉà·èÒäÃ
2.x¤Ù³àÈÉ1Êèǹx=2 áÅéÇx¡ÓÅѧ3¤Ù³àÈÉ1Êèǹx¡ÓÅѧ3¨Ðà·èҡѺà·èÒäà |
#2
|
|||
|
|||
m ËÒà 7 áÅéÇàËÅ×ÍàÈÉ 3 áÊ´§ÇèÒ m ÊÒÁÒöàªÕ¹ä´éã¹ÃÙ» m = 7a+3 ;a=0,1,2,...
n ËÒà 7 áÅéÇàËÅ×ÍàÈÉ 5 áÊ´§ÇèÒ n ÊÒÁÒöàªÕ¹ä´éã¹ÃÙ» n = 7b+5 ;b=0,1,2,... m^2 - mn +n^2 = (7a+3)^2 - (7a+3)(7b+5) + (7b+5)^2 Ö1. Ö(7a+3)^2 = 7*7a^2 + 2*7*3*a +9 àÁ×èÍËÒôéÇ 7 ¨ÐàËÅ×ÍàÈÉ 2 (à¾ÃÒÐà·ÍÁÍ×è¹æ ÁÕ 7 à»ç¹µÑÇ»ÃСͺ áÅÐ 9/7 àËÅ×ÍàÈÉ 2 ) 2. (7a+3)(7b+5) = 7*7*a*b + 3*7b + 5*7a + 15 àÁ×èÍËÒôéÇ 7 áÅéǨÐàËÅ×ÍàÈÉ 1 (15/7 àËÅ×ÍàÈÉ 1) 3. (7b+5)^2 = 7*7*b^2 + 2*5*7b + 25 àÁ×èÍËÒôéÇ 7 àËÅ×ÍàÈÉ 4 (25/7 àËÅ×ÍàÈÉ 4) 4. àÍÒàÈÉ·Õèä´éÁҺǡź¡Ñ¹ 2 - 1 + 4 = 5 àÈɤ×Í 5 |
#3
|
|||
|
|||
¢Íº¤Ø³¤ÃѺ
àÍÒ¢éÍ2´éǤÃѺ |
#4
|
|||
|
|||
¢éÍÊͧ⨷Âì¼Ô´ËÃ×Íà»ÅèÒ ¹èÒ¨Ðà»ç¹
x+1/x =2 áÅéÇ x^3 + 1/x^3 = ? ÁÒ¡¡ÇèÒ¤ÃѺ |
#5
|
|||
|
|||
¢Íâ·É áËÐæ
ªèÇÂà©ÅÂ˹èǹР|
#6
|
|||
|
|||
x+1/x=2
x+1=2x x=1 x^3+1=1^3+1=2 1^3=1 x^3+1/x^3=2/1=2 |
#7
|
||||
|
||||
·Ó¼Ô´àËÁ×͹¼ÁÊÁÑ¡è͹àÅ ¤Ô´äÁèÍÍ¡¡çàÅè¹Âѧ§ÕéàËÁ×͹¡Ñ¹¤Ñº 555+
|
#8
|
|||
|
|||
¢Ø´ÁÒ·ÓäÁ¤ÃѺà¹ÕèÂÂÂ!!
|
#9
|
||||
|
||||
ä˹æ¡ç¢Ø´ÁÒáÅéÇ ¨ÐªèÇÂá¡éãËé¡çáÅéǡѹÍФÃѺ
ÇÔ¸Õ·Õè 1. ¹Ó $x + \frac{1}{x} = 2$ ÁÒ¤Ù³´éÇ x áÅéǨÐä´é $x^2 + 1 = 2x$ ¨Ñ´ÃÙ»ä´é $x^2- 2x + 1 = (x-1)^2 = 0$ ´Ñ§¹Ñ鹨Ðä´é x = 1 áÅéÇ $x^3+\frac{1}{x^3} = 2$ ¤ÃѺ ÇÔ¸Õ·Õè 2. ¹Ó $x + \frac{1}{x} = 2$ ÁÒ¡¡ÓÅѧÊͧ¨Ðä´é $4 = x^2 + 2 + \frac{1}{x^2} $ áÅéÇź´éÇ 4 ¨Ðä´é $0 = x^2 - 2 + \frac{1}{x^2} = (x - \frac{1}{x})^2$ --> $x - \frac{1}{x} = 0$ áÅéÇä´é x = 1 àËÁ×͹¡Ñ¹¤ÃѺ áµè ÊÓËÃѺ¡Ã³Õ $x + \frac{1}{x} = 5$ ÇÔ¸Õ·Õè 1.áÅÐ 2 äÁèàËÁÒзÕè¨ÐãªéËÒ¤èҢͧ $x^3 + \frac{1}{x^3}$ ÍФÃѺ ¤ÇÃãªé $x^3 + \frac{1}{x^3} = (x + \frac{1}{x})(x^2- 1 + \frac{1}{x^2})$ â´Â·Õè $(x^2- 1 + \frac{1}{x^2}) = (x + \frac{1}{x})^2 -3$ ËÃ×Í $x^3 + \frac{1}{x^3} = (x + \frac{1}{x})^3 - 3(x + \frac{1}{x})$ ¡çä´é¤ÓµÍº¡Ã³Õ¹Õéà»ç¹ 110 ¤ÃѺ |
#10
|
||||
|
||||
__________________
|
#11
|
||||
|
||||
¢Âѹ¢Ø´¨ÃÔ§¨Ôꧧ§
¤Ø³ m_Innocent ¹Ñº¶×Í ·èÒ¹¾Ò¢Ø´ >,<
__________________
ÂÔéÁà·èÒ¹Ñé¹·Õè¤ÃͧâÅ¡
5555 |
|
|