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à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ | ¤é¹ËÒã¹ËÑÇ¢é͹Õé |
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![]() ·èÒ¹ã´Ãº¡Ç¹à©ÅÂá¹Ç¤Ô´ãËé˹èͤÃѺ
![]() ![]() 32. ${\frac{(200+\frac{1}{125})^3(200-\frac{1}{125})^2}{(125+\frac{1}{120})^3(125-\frac{1}{120})^2}}$ ÁÕ¤èÒà·èÒã´ (µÍºà»ç¹·È¹ÔÂÁ 2 µÓá˹è§) ¢Íº¤Ø³ÁÒ¡¤ÃѺ (Åèǧ˹éÒ) --¢Í¤ÒÃÇÐ--
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¤³ÔµÈÒʵÃì = ÊÔè§ÁËÑȨÃÃÂì |
#2
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![]() 10.49 »èÒǤÃѺ
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#3
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![]() ¼ÁÅͧãªé wolfram ¡çä´é 10.49 ¤ÃѺ
¾Í¨ÐÁÕÇÔ¸Õ·ÓÁÑé¤ÃѺ --¢Í¤ÒÃÇÐ--
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¤³ÔµÈÒʵÃì = ÊÔè§ÁËÑȨÃÃÂì |
#4
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![]() ÁͧÍÂèÒ§§Õé $(200+\frac{1}{125})(200+\frac{1}{125})^2(200-\frac{1}{125})^2$
Âغ¡ÓÅѧ 2 ÊͧµÑÇËÅѧà¢éÒ´éÇ¡ѹáÅéÇ $(a-b)(a+b)=...$ µÑÇÊèǹ¡ç·Ó»ÃÐÁÒ³¹Õé |
#5
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![]() ¼Á¤Ô´ä´éÇÔ¸Õ·ÓÍÂèÒ§¹Ñé¹áÅéǤÃѺ
áµè¾Í·Óä»àÃ×èÍ æ Áѹ¨ÐµÑ´¡Ñ¹äÁèä´é¤ÃѺ ¡ÅÒÂà»ç¹ÇèÒ ÂÔ觤ٳÂÔè§àÂÍФÃѺ
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¤³ÔµÈÒʵÃì = ÊÔè§ÁËÑȨÃÃÂì |
#6
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![]() â·É·Õ Áͧ⨷Âì§èÒÂ仹Դ¹Ö§ àÍÒ§ÕéÅСѹ
¨Ò¡â¨·Âì ä´éà»ç¹ $\frac{25001^3 \cdot 24999^2}{15001^3\cdot 14999^2}(\frac{120}{125})^5$ ¨Ñ´à»ç¹ $(1+\frac{10000}{15001})^3(1+\frac{10000}{14999})^2(\frac{120}{125})^5$ »ÃÐÁÒ³àÈÉÊèǹâË´æà»ç¹ $\frac{2}{3}$ ä»àÅ ÊØ´·éÒ¨еѴ¡Ñ¹ä´é $(\frac{8}{5})^5=10.48576$ µÍº»ÃÐÁÒ³ 10.49 àËÁ×͹·Õè¡´æÁÒ áºº¹Õé¾ÍÂÍÁÃѺä´éÁÑé¤ÃѺ ![]() |
#7
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![]() ${\frac{(200+\frac{1}{125})^3(200-\frac{1}{125})^2}{(125+\frac{1}{120})^3(125-\frac{1}{120})^2}}$
${\frac{(200(125)+1)^3(200(125)-1)^2 (120)^5}{(120(125)+1)^3(120(125)-1)^2(125)^5}}$ ${\frac{(25+10^{-3})^3(25-10^{-3})^2}{(15+10^{-3})^3(15-10^{-3})^2}}$$(\frac{24}{25})^5 $ |
#8
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![]() ¢Íº¤Ø³·Ø¡·èÒ¹ÁÒ¡ æ ¤ÃѺ
![]() ![]() --¢Í¤ÒÃÇÐ--
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¤³ÔµÈÒʵÃì = ÊÔè§ÁËÑȨÃÃÂì |
#9
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![]() $ \sqrt{33+\sqrt{65}}\times \sqrt{6+\sqrt{3+\sqrt{65}}}\times \sqrt{3+\sqrt{3+\sqrt{3+\sqrt{65}}}} \times \sqrt{3-\sqrt{3+\sqrt{3+\sqrt{65}}}} $ ÁÕ¤èÒà·èÒã´ (µÍºà»ç¹¨Ó¹Ç¹àµçÁ)
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Numbers rule the Universe. |
#10
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![]() 1. ¨§ËÒ¤èҢͧ $\sqrt[3]{\sqrt{5}+2}+ \sqrt[3]{\sqrt{5}-2}$ ÁÕ¤èÒà·èÒã´ (µÍºã¹ÃÙ»·È¹ÔÂÁ 2 µÓá˹è§)
2. ¶éÒ $3x+a$ áÅÐ $ax^2+b$ à»ç¹µÑÇ»ÃСͺ¢Í§ $3ax^4+(a^2+9a)x^3+15x^2+(ab+9)x+3ab$ áÅéÇ $a^2d-bd$ ÁÕ¤èÒà·èÒã´ 3. ¶éÒ $a, b$ à»ç¹ÃÒ¡¢Í§ÊÁ¡Òà $\left|x\right|+\sqrt{x^2+9}=\frac{45}{\sqrt{x^2+9} } $ áÅéÇ $a^b+b^a$ ÁÕ¤èÒà·èÒã´ ªèÇ´éǤÃѺ ![]() ![]() ![]()
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Numbers rule the Universe. |
#11
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![]() ⨷Âì¢éÍááãËé¤Ù³¨Ò¡¾¨¹ìÊͧ¾¨¹ì·éÒ¡è͹
áÅéÇãªé¼ÅµèÒ§¡ÓÅѧÊͧä»àÃ×èÍÂ æ ¤ÃѺ
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¤³ÔµÈÒʵÃì = ÊÔè§ÁËÑȨÃÃÂì |
#12
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![]() ¢éÍ 1 à´ÕëÂÇÇèÒ§ æ ¨ÐÁÒ¹Ñ觾ÔÁ¾ìÇÔ¸Õ·ÓãËé¤ÃѺ
ãªé¡¡ÓÅѧÊÒÁ·Ñé§ÊÁ¡Òà ᷹⨷Âìà»ç¹µÑÇá»Ã¤ÃѺ
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¤³ÔµÈÒʵÃì = ÊÔè§ÁËÑȨÃÃÂì |
#13
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![]() ÍéÒ§ÍÔ§:
$|x|\sqrt{x^2+9}+(x^2+9)=45$ $|x|\sqrt{x^2+9}=36-x^2$ $x^2(x^2+9)=x^4-72x^2+36^2$ $81x^2-36^2=0$ $(9x-36)(9x+36)=0$ $x=4,-4$ á·¹ $a=4,b=-4$ $a^b+b^a=\frac{1}{256}+256$
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-It's not too serious to calm - Fighto! ![]() |
#14
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![]() ¢Íº¤Ø³·Ø¡¤¹·ÕèªèÇÂà©Å¤ÃѺ
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Numbers rule the Universe. |
#15
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![]() (28) ¡Ó˹´ ABC à»ç¹ÃÙ»ÊÒÁàËÅÕèÂÁ ÁÕ AB = 20 ˹èÇ AC = 30 ˹èÇ áÅÐ BAC = 120 ͧÈÒ ¶éÒ D à»ç¹¨Ø´º¹ BC ·Õè·ÓãËé AD áºè§¤ÃÖè§ÁØÁ BAC áÅéÇ AD ÂÒÇ¡Õè˹èÇÂ
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Numbers rule the Universe. |
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