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Tex\u304c\u52d5\u4f5c\u3057\u3066\u3044\u308b\u306e\u3092\u898b\u308b\u306b\u306f\u30012\u6b21\u65b9\u7a0b\u5f0f\u306e\u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b\u5f0f\u3092\u66f8\u3044\u3066\u307f\u3066\u304f\u3060\u3055\u3044\u3002 la f ' Ormula Cuadr ' \u30a2\u30c6\u30a3\u30ab\u306f\u3067\u3059 $ \u30d0\u30c4_{ \u521d\u3081 \u3001 2 } = {  -  b PMSQRT {b^ 2  -  4 \u6642\u4ee3 a \u6642\u4ee3 c} \u4ee5\u4e0a { 2  \u6642\u4ee3 a}} $  \u3055\u3088\u306a\u3089  \u4e0a\u306e\u30c6\u30ad\u30b9\u30c8\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u3053\u306e\u3088\u3046\u306a\u3082\u306e\u304c\u898b\u3089\u308c\u305f\u3082\u306e\u3092\u624b\u306b\u5165\u308c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059 \u4e8c\u6b21\u5f0f\u306f\u3067\u3059 \u30d0\u30c4 1,2= \u2212b\u00b1b2\u22124\u00d7a\u00d7c2\u00d7a{displaystyle x_ {1,2} = {-bpm {sqrt {b^{2} -4times atimes c}} over {2times a}}}}} \u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u3067\u3001\u5165\u529b\u3057\u307e\u3059 \u6570\u5b66\u30e2\u30fc\u30c9 \u30b5\u30a4\u30f3\u304c\u66f8\u304b\u308c\u3066\u3044\u307e\u3059 $ \u6b21\u306b\u3001\u30c6\u30c3\u30af\u30b9\u304c\u305d\u308c\u3092\u7406\u89e3\u3057\u3001\u5225\u306e\u5146\u5019\u3067\u9589\u3058\u308b\u3088\u3046\u306b\u5f0f $ \u3002\u65b0\u3057\u3044\u30e9\u30a4\u30f3\u306b\u7126\u70b9\u3092\u5f53\u3066\u305f\u5f0f\u3092\u6b8b\u3059\u5225\u306e\u30d7\u30ec\u30bc\u30f3\u30c6\u30fc\u30b7\u30e7\u30f3\u30e2\u30fc\u30c9\u306f\u3001 $ \u3002\u305f\u3068\u3048\u3070\u3001\u4ee5\u524d\u306e\u5f0f\u304c\u8a18\u8ff0\u3055\u308c\u307e\u3059 la f ' Ormula Cuadr ' \u30a2\u30c6\u30a3\u30ab\u306f\u3067\u3059 $ \u30d0\u30c4_{ \u521d\u3081 \u3001 2 } = {  -  b PMSQRT {b^ 2  -  4 \u6642\u4ee3 a \u6642\u4ee3 c} \u4ee5\u4e0a { 2 \u6642\u4ee3 a}} $  \u3055\u3088\u306a\u3089  \u305d\u3057\u3066\u3001\u305d\u308c\u306f\u3069\u306e\u3088\u3046\u306b\u898b\u3048\u308b\u3067\u3057\u3087\u3046 \u4e8c\u6b21\u5f0f\u306f\u3067\u3059 \u30d0\u30c4 \u521d\u3081 \u3001 2 = \u2212b\u00b1b2\u22124\u00d7a\u00d7c2\u00d7a{displaystyle x_ {1,2} = {-bpm {sqrt {b^{2} -4times atimes c}} over {2times a}}}}}}}  \u6839\u3001\u5c0e\u95a2\u6570\u3001\u5236\u9650\u306e\u4f8b [ \u7de8\u96c6\u3057\u307e\u3059 ] \u7b2c\u4e00\u6b21\u4ee3\u6570\u65b9\u7a0b\u5f0f [ \u7de8\u96c6\u3057\u307e\u3059 ] \uff1a SQRT [3] { x+5+2x } = SQRT [3] { 3x+7x+12 } \uff1a x+5+2x = 3x+7x+12  x+5+2x3= 3x+7x+123{displaystyle {sqrt [{3}] {x+5+2x}} = {sqrt [{3}] {3x+7x+12}}\u3001} \u30d0\u30c4 + 5 + 2 \u30d0\u30c4 = 3 \u30d0\u30c4 + 7 \u30d0\u30c4 + 12\u756a\u76ee {displaystyle x+5+2x = 3x+7x+12\u3001} \u5546\u304b\u3089\u6d3e\u751f [ \u7de8\u96c6\u3057\u307e\u3059 ] \uff1a \u5de6 \uff08 { \u30d0\u30c4 ^ 2 \u4ee5\u4e0a \u30d0\u30c4 ^ 3 +1 }  \u53f3 \uff09\uff09 ^ \u30d7\u30e9\u30a4\u30e0 = {  \u5de6 \uff08 \u30d0\u30c4 ^ 3 +1 \u53f3 \uff09\uff09 \u5de6 \uff08 \u30d0\u30c4 ^ 2 \u53f3 \uff09\uff09 ^ \u30d7\u30e9\u30a4\u30e0  -  \u5de6 \uff08 \u30d0\u30c4 ^ 2 \u53f3 \uff09\uff09 \u5de6 \uff08 \u30d0\u30c4 ^ 3 +1 \u53f3 \uff09\uff09 ^ \u30d7\u30e9\u30a4\u30e0  \u4ee5\u4e0a  \u5de6 \uff08 \u30d0\u30c4 ^ 3 +1 \u53f3 \uff09\uff09 ^ 2 }  \u5546\u306e\u5f0f\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3 (x2x3+1)\u2032= (x3+1)(x2)\u2032\u2212(x2)(x3+1)\u2032(x3+1)2{displaystyle\u5de6\uff08{x^{2} over x^{3} +1}\u53f3\uff09^{prime} = {left\uff08x^{3}+1 right\uff09\u5de6\uff08x^{2}\u53f3\uff09^{prime} -Left\uff08x^{2}\u53f3\uff09\u5de6\uff08x^{3}+1\u6a29\uff09^{3}+1\u6a29\uff09 }} \u5546\u306e\u5f0f\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3 \u5883\u754c [ \u7de8\u96c6\u3057\u307e\u3059 ] \uff1a \u30ea\u30e0 _ { \u30d0\u30c4 \u306b \u521d\u3081 ^ + }  { \u521d\u3081 \u4ee5\u4e0a x -1 } =\uff1f \uff1a \u89e3\u6c7a\uff1a = { \u521d\u3081 \u4ee5\u4e0a 1,001-1 }  \uff1a = { \u521d\u3081 \u4ee5\u4e0a 0.001 }  \uff1a \u30ea\u30e0 _ { \u30d0\u30c4 \u306b \u521d\u3081 ^ + }  { \u521d\u3081 \u4ee5\u4e0a x -1 } = + \u30a4\u30f3\u30d5\u30c6\u30a3  RightArrow   \u3053\u308c\u306f\u3001\u305d\u308c\u304c\u50be\u5411\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059 + \u30a4\u30f3\u30d5\u30c6\u30a3  \u30ea\u30e0 x\u21921+1x\u22121= \uff1f {displaystyle lim _ {xto 1^{+}} {1 over x-1} =\uff1f} \u89e3\u6c7a = 11,001\u22121{displaystyle = {1\u4ee5\u4e0a1,001-1}} = 10,001{displayStyle = {1 of of 0,001}} \u30ea\u30e0 x\u21921+1x\u22121= + \u221e  \u21d2  {displaystyle lim _ {xto 1^{+}} {1 over x-1} =+infty rightarrow}  \u3053\u308c\u306f\u3001\u305d\u308c\u304c\u50be\u5411\u304c\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059 + \u221e {displaystyle +infty} \u53c2\u7167 [ \u7de8\u96c6\u3057\u307e\u3059 ] Foldoc\uff082002-03-11\uff09 \u30c6\u30c3\u30af\u30b9  \uff08\u82f1\u8a9e\u3067\uff09 \u3002 \u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044 [ \u7de8\u96c6\u3057\u307e\u3059 ] \u66f8\u8a8c [ \u7de8\u96c6\u3057\u307e\u3059 ] \u5916\u90e8\u30ea\u30f3\u30af [ \u7de8\u96c6\u3057\u307e\u3059 ]     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