{"id":1465,"date":"2015-12-07T00:30:52","date_gmt":"2015-12-06T15:30:52","guid":{"rendered":"http:\/\/math.co.jp\/blog\/?p=1465"},"modified":"2015-12-08T10:36:08","modified_gmt":"2015-12-08T01:36:08","slug":"%e8%a8%88%e7%ae%97%e3%81%ae%e3%82%a8%e3%83%81%e3%83%a5%e3%83%bc%e3%83%89%e3%80%80%e5%9f%ba%e7%a4%8e%e7%b7%a8-1%e3%80%80%e8%a7%a3%e7%ad%94%e7%b7%a8","status":"publish","type":"post","link":"https:\/\/math.co.jp\/blog\/?p=1465","title":{"rendered":"\u8a08\u7b97\u306e\u30a8\u30c1\u30e5\u30fc\u30c9\u3000\u57fa\u790e\u7de8 1\u3000(\u89e3\u7b54\u7de8)"},"content":{"rendered":"


\n\u307e\u305a, \u89e3\u7b54\u3092\u8a18\u3057\u307e\u3059\u3002\u305d\u306e\u5f8c\u3067\u3053\u306e\u554f\u984c\u306e\u51fa\u984c\u610f\u56f3\u3068\u4eba\u306b\u3088\u3063\u3066\u306f\u53cd\u7701\u6750\u6599\u3092\u304a\u77e5\u3089\u305b\u3057\u307e\u3059\u3002
\n\u3000
\n\u3010\u554f\u984c A – 1 \u3011\u306e\u89e3\u7b54\u3067\u3059\u3002
\n\u3000
\n(1)\u3000\\( (x^{2}+3x)^{2}+5x^{2}+15x-14=(x^{2}+3x)^{2}+5(x^{2}+3x)-14\\)
\n\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\\( =\\{(x^{2}+3x)+7\\}\\{(x^{2}+3x)-2\\} \\)
\n\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\\(=(x^{2}+3x+7)(x^{2}+3x-2)\\)
\n\u3000
\n(2)\u3000\\(f(x)=-\\left(\\displaystyle\\frac{1}{\\,x\\,}-\\frac{1}{\\,2\\,}\\right)^{2}+\\displaystyle\\frac{1}{\\,4\\,}\\)
\n\u3000
\n\u3068\u306a\u308b\u304b\u3089, \\(f(x)\\) \u306f \\( x=2\\) \u306e\u3068\u304d\u6700\u5927\u5024
\n\u3000\u3000\u3000\u3000\\( \\displaystyle\\frac{1}{\\,4\\,}\\)
\n\u3092\u3068\u308b\u3002
\n\u3000
\n(3) \u4e0e\u3048\u3089\u308c\u305f\u65b9\u7a0b\u5f0f\u306f,
\n\u3000
\n\u3000\u3000\u3000\u3000\u3000\\( (x+2)+3\\sqrt[3]{x+2}-4=0 \\)
\n\u3000
\n\u3068\u306a\u308b\u3002\\( \\sqrt[3]{x+2}=X\\) \u3068\u304a\u304f\u3068\u3053\u308c\u306f,
\n\u3000
\n\u3000\u3000\u3000\u3000\u3000\\( X^{3}+3X-4=0\\)<\/p>\n

\u3068\u306a\u308b\u304b\u3089, \u3053\u308c\u3092\u5b9f\u6570\u306e\u7bc4\u56f2\u3067\u89e3\u304f\u3068,
\n\u3000
\n\u3000\u3000\u3000\u3000\u3000\\( (X-1)(X^{2}+X+4)=0 \\)
\n\u3000
\n\u3053\u3053\u3067, 2 \u6b21\u65b9\u7a0b\u5f0f \\( X^{2}+X+4=0\\) \u306f \\( (\u5224\u5225\u5f0f)=1^{2}-4\\cdot 4=-15\\lt 0\\) \u3088\u308a\u5b9f\u6570\u89e3\u3092\u3082\u305f\u306a\u3044\u3002\u3088\u3063\u3066, \\( X=1\\) \u306e\u3068\u304d\u306e
\n\u3000
\n\u3000\u3000\u3000\u3000\u3000\\(\\sqrt[3]{x+2}=1\\)
\n\u3000\u3000\u3000\u3000\u3000\u2234\u3000\\( x=-1\\)
\n\u3000
\n\u304c\u4e0e\u3048\u3089\u308c\u305f\u65b9\u7a0b\u5f0f\u306e\u5b9f\u6570\u89e3\u3067\u3042\u308b\u3002<\/p>\n

\u3010\u89e3\u8aac\u3011
\n\u3000\u4eca\u56de\u306f, \u300c\u6570\u5f0f\u3092\u584a\u3067\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u304b\u300d\u3042\u308b\u3044\u306f\u300c\u6570\u5f0f\u306e\u69cb\u9020\u3092\u3068\u3089\u3048\u3089\u308c\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u304b\u300d\u3068\u3044\u3046\u306e\u304c\u30c6\u30fc\u30de\u3067\u3059\u3002\u6570\u5f0f\u3092\u6700\u521d\u306b\u898b\u305f\u3068\u304d\u306b\u3069\u306e\u3088\u3046\u306a\u69cb\u9020\u3092\u3057\u3066\u3044\u308b\u304b\u3092\u65e9\u3044\u6bb5\u968e\u3067\u628a\u63e1\u3067\u304d\u308b\u304b\u3069\u3046\u304b\u304c\u554f\u308f\u308c\u3066\u3044\u307e\u3059\u3002
\n\u3000\u8a08\u7b97\u529b\u304c\u5f31\u3044\u4eba\u306b\u306f,
\n\u3000
\n\u3000\u3000\u3000\u3000\u3000\u3000 \u5c55\u958b\u7656<\/strong><\/font> <\/p>\n

\u304c\u591a\u3044\u3068\u3044\u3046\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306f, \u6570\u5f0f\u3092\u898b\u308b\u3068\u3068\u308a\u3042\u3048\u305a\u5c55\u958b\u3057\u3066\u3057\u307e\u3046\u60aa\u3044\u7656\u3067\u3059\u3002\u6570\u5f0f\u306f\u5c55\u958b\u3059\u308b\u3053\u3068\u3067\u7279\u5fb4\u304c\u898b\u3048\u306b\u304f\u304f\u306a\u308a, \u307e\u305f\u305d\u306e\u5f8c\u306e\u53ce\u62fe\u304c\u3064\u304b\u306a\u304f\u306a\u308b\u3053\u3068\u3082\u3088\u304f\u3042\u308a\u307e\u3059\u3002\u3082\u3061\u308d\u3093\u5c55\u958b\u3057\u306a\u3051\u308c\u3070\u5148\u306b\u9032\u307e\u306a\u3044\u3053\u3068\u3082\u591a\u304f\u3042\u308a\u307e\u3059\u304c, \u3080\u3084\u307f\u306b\u5c55\u958b\u3059\u308c\u3070\u3088\u3044\u3068\u3044\u3046\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u6570\u5f0f\u3092\u5c55\u958b\u3059\u308b\u524d\u306b\u3059\u308b\u3053\u3068\u304c\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p>\n

(1) \u3067\u306f\u3001\\( (x^{2}+3x)^{2}\\) \u3092\u5c55\u958b\u3057\u3066\u3057\u307e\u3063\u305f\u4eba\u306f\u8981\u6ce8\u610f\u3067\u3059\u3002\u305d\u306e\u5f8c\u306b\u7d9a\u304f \\(+5x^{2}+15x\\) \u3092\u898b\u3066, \u3053\u306e\u90e8\u5206\u3092 \\(+5(x^{2}+3x)\\) \u3068\u3059\u308b\u3053\u3068\u304c\u6c17\u304c\u3064\u304f\u3079\u304d\u3067\u3057\u3087\u3046\u3002
\n\u3000
\n(2) \u3067\u306f, \\(f(x)\\) \u304c \\(\u25a1-\u25a1^{2}\\) \u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u306b\u6c17\u304c\u3064\u3044\u3066\u3082\u3089\u3044\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002\u305d\u306e\u5f8c\u306e\u4f5c\u696d\u306f\u5e73\u65b9\u5b8c\u6210\u3067\u3059\u3002
\n\u3000
\n(3) \u306f \\( \\sqrt[3]{x+2}\\) \u304c\u3042\u308b\u3053\u3068\u306b\u3088\u3063\u3066, \\(x=(x+2)-2\\) \u3068\u898b\u3066, \\( x+2=(\\sqrt[3]{x+2})^{3}\\) \u3068\u3068\u3089\u3048\u305f\u3044\u554f\u984c\u3067\u3059\u3002\u3082\u3061\u308d\u3093 \\(\\sqrt[3]{x+2}=-x+2\\) \u3068\u5909\u5f62\u3057\u3066\u4e21\u8fba\u3092 3 \u4e57\u3059\u308b\u65b9\u6cd5\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u307e\u305a, \u89e3\u7b54\u3092\u8a18\u3057\u307e\u3059\u3002\u305d\u306e\u5f8c\u3067\u3053\u306e\u554f\u984c\u306e\u51fa\u984c\u610f\u56f3\u3068\u4eba\u306b\u3088\u3063\u3066\u306f\u53cd\u7701\u6750\u6599\u3092\u304a\u77e5\u3089\u305b\u3057\u307e\u3059\u3002 \u3000 \u3010\u554f\u984c A – 1 \u3011\u306e\u89e3\u7b54\u3067\u3059\u3002 \u3000 (1)\u3000\\( (x^{2}+3x)^{2}+5x^{2}+15x-14= […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[17],"class_list":["post-1465","post","type-post","status-publish","format-standard","hentry","category-11","tag-etude-basic"],"_links":{"self":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1465","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1465"}],"version-history":[{"count":10,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1465\/revisions"}],"predecessor-version":[{"id":1493,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1465\/revisions\/1493"}],"wp:attachment":[{"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1465"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1465"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.co.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1465"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}