- ãã¹ãã¢ã³ãµãŒ
æ°åŠðŠ
10xäºä¹-13x+4= 15xäºä¹-31x+10= 16xäºä¹-13x-5= 45xäºä¹+83x+28= 27xäºä¹+48x+20= 21xäºä¹+x-2= ãªãã§ããããïŒ ãã®å æ°å解ãã§ããŸãã(T ^ T)
- MeMeTa0405
- ã瀌ç18% (4/22)
- æ°åŠã»ç®æ°
- åçæ°4
- ããããšãæ°0
- ã¿ããªã®åç ïŒ4ïŒ
- å°é家ã®åç
質åè ãéžãã ãã¹ãã¢ã³ãµãŒ
å æ°å解ã¯ãäºæ¬¡æ¹çšåŒãäžæ¬¡æ¹çšåŒãªã©ãåŠã¶ééç¹ã§ãããããŸããã ãå æ°å解ã§ããäºæ¬¡æ¹çšåŒãªããŠããã®ãã¡ã®ããäžéš--å šäœããèšããšå²åïŒã«éããªãè¿ã極ããŠç¹æ®ãªåŒã ãã§ãã ãå¥ã®è³ªåããã®å æ°å解ã®åé¡ã®è§£ãæ¹ãæããŠãã ãã( http://okwave.jp/qa/q8565719.html )ãã§ã玹ä»ããŸãããããäºæ¬¡æ¹çšåŒã¯å æ°ã«å解ã§ãããããšããç¥èã®ããã ãã§ãã ããããªå€§ããªä¿æ°ã®äºæ¬¡æ¹çšåŒã®å æ°å解ãªããŠã解ãæå³ã¯å šããããŸããã ãåçŽã«ã解ã®å ¬åŒãã䜿ãã°æžãäºã§ãã 10x² +(-13)x + 4 = 15x² +(-31)x + 10= 16x² +(-13)x +(-5) = 45x² + 83x + 28 = 27x² + 48x + 20= 21x² + x +(-2) = x = {-b ± â(b² - 4ac)}/2a ã«ä»£å ¥ããŠæ©æ¢°çã«è§£ãã°ããã 10x² +(-13)x + 4 ããa=10,b=-13,c=4 ãb² - 4ac = 9 ãâ(b² - 4ac)=3 ãx = (13±3)/20 = (16/20,10/20) = (4/5,1/2) = (x - 4/5)(x + 1/2) = (5x - 4)(2x + 1) 以äžåæ§ã»ã»ã»å¹³æ¹ã§ããªããŠã解ããããä¿æ°ãæªç¥æ°ã§ã解ããã â å æ°å解ã¯ãäºæ¬¡åŒ--å Žåã«ãã£ãŠã¯ããé«æ¬¡ãªåŒãå æ°ã®æãç®ã§è¡šããããšã瀺ããŠããã ãã§ããããªè€éãªåŒã解ãããæå³ã¯å šããããŸããã No.1ã®åç ïŒäºæ¬¡æ¹çšåŒã«ã¯è§£ã®å ¬åŒããããšããããšãç¥ã£ãŠããŸãã? [è£è¶³] ïŒãããã解ããªããã§ãã ïŒç¥ã£ãŠãŸãã ã解ã®å ¬åŒç¥ã£ãŠãã°ã絶察ã«è§£ããŸããä¿æ°ãå¹³æ¹ã§ããªãããããæªç¥æ°ã ããããæ§ããªãã«ã»ã» ããããªãšããã§è¶³èžã¿ããæå³ã¯ãªã!!
ãã®ä»ã®åç (3)
- shuu_01
- ãã¹ãã¢ã³ãµãŒç55% (760/1366)
MeMeTa0405 ãããæè·ããèš³ã§ãããŸãããã éåžžã«é£ããåé¡ã§ã ãªããæ°åã倧ãããã åºé¡è ã®æå³ãããããŸãã 倧åŠå ¥è©Šã§ãããªé¢åãããå æ°å解 å¿ èŠãããŸãã åãªã©ïŒåç®ãããŸãã§ããããŸããã§ãã ããã§ãå æ°å解ã®ã«ã³ãã³ã°ããæãããŸã å æ°åè§£æ© - Biglobe http://www2u.biglobe.ne.jp/~yuichi/rest/factor.html ããã«ä»åã®åé¡ããã®ãŸãŸå ¥åãããšçãã¯ïŒ ïŒ2x-1ïŒïŒ5x-4ïŒ ïŒ3x-5ïŒïŒ5x-2ïŒ 16x2 - 13x - 5ãâãããã ããèšç®ã§ããŸããã§ãã ïŒ5x+7ïŒïŒ9x+4ïŒ ïŒ3x+2ïŒïŒ9x+10ïŒ ïŒ3x+1ïŒïŒ7x-2ïŒ å¯äžãèšç®ã§ããªãã£ãã16x2 - 13x - 5ã㯠解ã®å ¬åŒã«ã¶ã£ããã§èŠããš x =ã(13±â489ïŒ/32ããšãªããŸã ãããŠå æ°å解ãããš {4xïŒ(13ïŒâ489ïŒ/8ïŒ} {4xïŒ(13ïŒâ489ïŒ/8ïŒ} ã§ãããããããããã¹ã¿ã€ã㧠18x2 - 13x - 5ãïŒïŒx-1ïŒïŒ18x+5ïŒ ã ãšæãããŸã ããããåé¡ãåºãå çã®æ°ããããŸãã ããã°ããšãææ°ã®ãããåŸæãªå çãªã®ããªãïŒ
- Sat_H
- ãã¹ãã¢ã³ãµãŒç43% (87/202)
1)ãããæãã§è©Šè¡é¯èª€ããã äžã®ãªã³ã¯ãåèã«ãå°éã«è©Šè¡é¯èª€ããŠãã ããã http://shoheisuugaku.web.fc2.com/koukou/koukouinsuutasuki01.html 2) (åãã®åŒ)=0 ãšãã2次æ¹çšåŒã解ãã ax^2+bx+c=0ã®è§£ãx=A, x=Bã§ãããšããax^2+bx+c=a(x-A)(x-B) ãšå æ°å解ã§ããŸãã äŸïŒ2x^2-12x+10=0ã®è§£ã¯x=1, x=5ãªã®ã§ã2x^2-12x+10=2(x-1)(x-5)ãšå æ°å解ã§ããŸãã
- Tacosan
- ãã¹ãã¢ã³ãµãŒç23% (3656/15482)
ãããã©ãããããã§ãããã? äºæ¬¡æ¹çšåŒã«ã¯è§£ã®å ¬åŒããããšããããšãç¥ã£ãŠããŸãã?
é¢é£ããQ&A
- æ°åŠã«ã€ããŠ
3xã®äºä¹ïŒ10xïŒ8ãå æ°å解ãããš(3xïŒ4)(xïŒ2)ã§ã¯ãªã(xïŒ4)(3xïŒ2)ãæ£ããçç±ãåããæãæããŠäžããïŒïŒ xã«æ°åãä»ããå æ°å解ãããããããªãã®ã§âŠãé¡ãããŸãïŒ
- ç· åæžã¿
- æ°åŠã»ç®æ°
- é«ïŒãæ°åŠIãå æ°å解ã«ã€ããŠã
â(1)ãå æ°å解ã§ããåŒããã§ããªãåŒãã®ç°¡åãªèŠåãæ¹ã£ãŠãããŸããïŒ â(2)ãXã®äžä¹ïŒïŒxïŒïŒxïŒïŒïŒããã©ãå æ°å解ããã°ããã§ããïŒ â(3)ãxã®åä¹ïŒïŒïŒxäºä¹yäºä¹ïŒyåä¹ãã©ãå æ°å解ããã°ããã§ããïŒ ã©ããïŒã€ã®çãã§ãããã®ã§ã ãããããé¡ãããŸãã
- ç· åæžã¿
- æ°åŠã»ç®æ°
- æ°åŠæããŠãã ããã
ã(y-z)ã®5ä¹ïŒ(z-x)ã®5ä¹ïŒ(x-y)ã®5ä¹ã®å æ°å解ããªããã ãã®åé¡ã®è§£ãæ¹æããŠãã ããã ããããããŸãã
- ç· åæžã¿
- æ°åŠã»ç®æ°
- é«å°ã®æ°åŠ1ã®åé¡éã§
é«å°ïŒå¹Žã§ãã é«å°ã®æ°åŠïŒã®åé¡éã®å æ°å解ã®åé¡ã§ãã©ãããŠãããããªãåé¡ããããŸãã解ãæ¹ãæããŠãã ããã åé¡1.16次ã®åŒãAã®ïŒä¹-Bã®ïŒä¹ã®åœ¢ã«çŽããŠå æ°å解ããã (1)xã®ïŒä¹+4 çïŒ(xã®ïŒä¹+2x+2)(xã®ïŒä¹-2x+2) çãã¯ã®ã£ãŠããã®ã§ãããã®ã§ãããã©ãããŠãã®çãã«ãªãã®ããåããŸããã
- ãã¹ãã¢ã³ãµãŒ
- æ°åŠã»ç®æ°
- æ°åŠæããŠäžããã
æ°åŠæããŠäžããã å®ãã埡é¡ãèŽããŸãã ïœäºä¹ïŒïŒïœ-ïœïŒ+4ïŒïœ-3ïœïŒãå æ°å解ããªããã
- ãã¹ãã¢ã³ãµãŒ
- æ°åŠã»ç®æ°
- æ°åŠãå æ°å解
(1)ïŒïœã®ïŒä¹-3ïœïœ-2ïœã®2ä¹ (2)xã®2ä¹+xy-2yã®2ä¹+ïŒïœ+ïŒïœ-ïŒ äžã®2åã®å æ°å解ã®ããæ¹ãåãããªãã®ã§æããŠãã ãã(T_T)
- ãã¹ãã¢ã³ãµãŒ
- æ°åŠã»ç®æ°
- äžåŠæ°åŠã®å æ°å解ãæããŠãã ãã
äžåŠçã§ããäžåŠæ°åŠã® å æ°å解ã®åçææ³ãããããŸããã çãã ãã§ã¯ãªãã解ãæ¹ãæããŠãã ããã åé¡-å æ°å解ãããªããã (1)ãïœ2ä¹ïŒïœïŒïœïŒïŒïœïŒïœïŒïœïŒ2ä¹ãããâ»ãã¿ãŸããã2ä¹ã®å ¥åã®ä»æ¹ãããããŸããã§ããã (2)ãïŒïœïŒxïŒ3yïŒ-ïœïŒ3ïœ-ïœïŒ 解ãæ¹ãèãæ¹ãæããŠãã ããããé¡ãããŸãã
- ãã¹ãã¢ã³ãµãŒ
- æ°åŠã»ç®æ°
- æ°åŠIã®åé¡
xã®ïŒä¹-yã®ïŒä¹ïŒ2x-1ãå æ°å解ããã çãïŒ(xïŒy-1)(x-yïŒ1) 解ãæ¹ãšããããã®åé¡ã®èãæ¹ãããããããªããŠã»ã» ã©ãªããæããŠãããŸãããïŒ ãé¡ãããŸãã
- ãã¹ãã¢ã³ãµãŒ
- æ°åŠã»ç®æ°
- æ°åŠãå æ°å解
次ã®åé¡ãå æ°å解ããªããã -ïŒïŒïœÂ²ïŒïŒïœïŒïŒãïŒïŒïŒïœã®äºä¹ïŒïŒïœïŒïŒïŒ ããã ããããããŸãããããæ¹æããŠããã ããŸãããïŒ
- ãã¹ãã¢ã³ãµãŒ
- æ°åŠã»ç®æ°
- æ°åŠïŒã»å æ°å解
ãã®å æ°å解ã®åé¡ã®è§£çãšè§£èª¬ããé¡ãããŸãã 2Xã®äºä¹ïŒXYïŒYã®äºä¹ïŒXïŒ5Y-6
- ãã¹ãã¢ã³ãµãŒ
- æ°åŠã»ç®æ°
è£è¶³
ãããã解ããªããã§ãã ç¥ã£ãŠãŸãã