{"id":98390,"date":"2025-08-29T07:53:44","date_gmt":"2025-08-28T22:53:44","guid":{"rendered":"https:\/\/adtechmanagement.com\/minnadepr-column\/?p=98390"},"modified":"2025-08-29T07:53:44","modified_gmt":"2025-08-28T22:53:44","slug":"what-is-cubic-equation-guide","status":"publish","type":"post","link":"https:\/\/adtechmanagement.com\/minnadepr-column\/2025\/08\/29\/what-is-cubic-equation-guide\/","title":{"rendered":"\u4e09\u6b21\u65b9\u7a0b\u5f0f\u3068\u306f\uff1f\u57fa\u790e\u304b\u3089\u89e3\u6cd5\u30fb\u5fdc\u7528\u307e\u3067\u5fb9\u5e95\u89e3\u8aac\u3010\u6570\u5b66\u30ac\u30a4\u30c9\u3011"},"content":{"rendered":"

\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306f\u6570\u5b66\u306e\u4e2d\u3067\u3082\u91cd\u8981\u306a\u5f79\u5272\u3092\u6301\u3064\u591a\u9805\u5f0f\u65b9\u7a0b\u5f0f\u306e\u4e00\u3064\u3067\u3059\u3002\u65e5\u5e38\u751f\u6d3b\u3067\u306f\u3042\u307e\u308a\u898b\u304b\u3051\u307e\u305b\u3093\u304c\u3001\u7269\u7406\u5b66\u3084\u5de5\u5b66\u3001\u7d4c\u6e08\u5b66\u306a\u3069\u69d8\u3005\u306a\u5206\u91ce\u3067\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u57fa\u672c\u6982\u5ff5\u304b\u3089\u5177\u4f53\u7684\u306a\u89e3\u6cd5\u3001\u5fdc\u7528\u4f8b\u307e\u3067\u3092\u8a73\u3057\u304f\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n

1. \u4e09\u6b21\u65b9\u7a0b\u5f0f\u3068\u306f\uff1f\u57fa\u672c\u306e\u5b9a\u7fa9<\/h2>\n

1-1. \u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u4e00\u822c\u5f62<\/h3>\n

\u4e09\u6b21\u65b9\u7a0b\u5f0f\u3068\u306f\u3001\u6700\u9ad8\u6b21\u306e\u9805\u304c\u4e09\u4e57\uff083\u4e57\uff09\u3067\u3042\u308b\u591a\u9805\u5f0f\u65b9\u7a0b\u5f0f\u306e\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002\u4e00\u822c\u7684\u306b\u306f\u4ee5\u4e0b\u306e\u5f62\u3067\u8868\u3055\u308c\u307e\u3059\u3002 \\[ ax^3 + bx^2 + cx + d = 0 \\] \u3053\u3053\u3067\u3001a, b, c, d \u306f\u5b9f\u6570\u4fc2\u6570\u3067\u3001a \u2260 0 \u3067\u3059\u3002 <\/p>\n

1-2. \u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u7279\u5fb4<\/h3>\n

\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306f\u6b21\u6570\u304c3\u3067\u3042\u308b\u305f\u3081\u3001\u6700\u59273\u3064\u306e\u5b9f\u6570\u89e3\u3092\u6301\u3064\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u89e3\u306e\u500b\u6570\u3084\u6027\u8cea\u306f\u3001\u65b9\u7a0b\u5f0f\u306e\u4fc2\u6570\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u3001\u91cd\u89e3\u3084\u865a\u6570\u89e3\u304c\u542b\u307e\u308c\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002 <\/p>\n

2. \u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u306e\u6027\u8cea<\/h2>\n

2-1. \u5b9f\u6570\u89e3\u3068\u865a\u6570\u89e3<\/h3>\n

\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306f\u5fc5\u305a\u5c11\u306a\u304f\u3068\u30821\u3064\u306e\u5b9f\u6570\u89e3\u3092\u6301\u3061\u307e\u3059\u3002\u6b8b\u308a\u306e\u89e3\u306f\u5b9f\u6570\u304b\u865a\u6570\u306e\u7d44\u307f\u5408\u308f\u305b\u306b\u306a\u308a\u307e\u3059\u3002\u865a\u6570\u89e3\u306f\u5171\u5f79\u8907\u7d20\u6570\u3068\u3057\u3066\u73fe\u308c\u308b\u3053\u3068\u304c\u4e00\u822c\u7684\u3067\u3059\u3002 <\/p>\n

2-2. \u89e3\u306e\u914d\u7f6e\u3068\u5224\u5225\u5f0f<\/h3>\n

\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u306e\u6027\u8cea\u306f\u5224\u5225\u5f0f\u306b\u3088\u3063\u3066\u5224\u65ad\u3067\u304d\u307e\u3059\u3002\u5224\u5225\u5f0f D \u304c\u6b63\u3001\u30bc\u30ed\u3001\u8ca0\u306e\u5834\u5408\u3067\u305d\u308c\u305e\u308c\u7570\u306a\u308b\u89e3\u306e\u5f62\u72b6\u306b\u306a\u308a\u307e\u3059\u3002 - D > 0 \u306e\u5834\u5408\uff1a3\u3064\u306e\u7570\u306a\u308b\u5b9f\u6570\u89e3 - D = 0 \u306e\u5834\u5408\uff1a\u91cd\u89e3\u3092\u542b\u3080\u5b9f\u6570\u89e3 - D < 0 \u306e\u5834\u5408\uff1a1\u3064\u306e\u5b9f\u6570\u89e3\u30682\u3064\u306e\u5171\u5f79\u865a\u6570\u89e3\n\u5224\u5225\u5f0f\u306f\u4fc2\u6570 a, b, c, d \u3092\u7528\u3044\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\n\n\n

3. \u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u304d\u65b9<\/h2>\n

3-1. \u30ab\u30eb\u30c0\u30ce\u306e\u516c\u5f0f\uff08Cardano\u306e\u89e3\u6cd5\uff09<\/h3>\n

\u4e09\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u53e4\u5178\u7684\u306a\u65b9\u6cd5\u3068\u3057\u3066\u30ab\u30eb\u30c0\u30ce\u306e\u516c\u5f0f\u304c\u3042\u308a\u307e\u3059\u300216\u4e16\u7d00\u306b\u30a4\u30bf\u30ea\u30a2\u306e\u6570\u5b66\u8005\u30ab\u30eb\u30c0\u30ce\u306b\u3088\u3063\u3066\u767a\u898b\u3055\u308c\u3001\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u4e00\u822c\u89e3\u3092\u5f97\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002 <\/p>\n

3-2. \u89e3\u6cd5\u306e\u6d41\u308c<\/h3>\n

\u30ab\u30eb\u30c0\u30ce\u306e\u89e3\u6cd5\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u9032\u307f\u307e\u3059\u3002 1. \u4e09\u6b21\u65b9\u7a0b\u5f0f\u3092\u6a19\u6e96\u5f62\uff08\u6700\u9ad8\u6b21\u306e\u4fc2\u6570\u30921\u306b\u3059\u308b\uff09\u306b\u5909\u5f62\u3059\u308b\u3002 2. \u4e8c\u6b21\u306e\u9805\u3092\u9664\u53bb\u3059\u308b\u305f\u3081\u306e\u5909\u6570\u5909\u63db\u3092\u884c\u3046\u3002 3. \u89e3\u306e\u516c\u5f0f\u306b\u4ee3\u5165\u3057\u3001\u5b9f\u6570\u89e3\u307e\u305f\u306f\u8907\u7d20\u6570\u89e3\u3092\u8a08\u7b97\u3059\u308b\u3002
\n\u3053\u306e\u65b9\u6cd5\u306b\u3088\u308a\u3001\u8907\u96d1\u306a\u8a08\u7b97\u3092\u7d4c\u3066\u89e3\u304c\u6c42\u3081\u3089\u308c\u307e\u3059\u3002<\/p>\n

3-3. \u56e0\u6570\u5206\u89e3\u3068\u4ee3\u5165\u6cd5<\/h3>\n

\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306b\u3088\u3063\u3066\u306f\u3001\u7c21\u5358\u306a\u56e0\u6570\u5206\u89e3\u3084\u4ee3\u5165\u6cd5\u3067\u89e3\u304c\u6c42\u3081\u3089\u308c\u308b\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002\u7279\u306b\u6574\u6570\u89e3\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u56e0\u6570\u5b9a\u7406\u3092\u5229\u7528\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002 <\/p>\n

4. \u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u5fdc\u7528\u4f8b<\/h2>\n

4-1. \u7269\u7406\u5b66\u306b\u304a\u3051\u308b\u5fdc\u7528<\/h3>\n

\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306f\u7269\u7406\u5b66\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u3084\u30a8\u30cd\u30eb\u30ae\u30fc\u8a08\u7b97\u306a\u3069\u3067\u73fe\u308c\u307e\u3059\u3002\u7279\u306b\u529b\u5b66\u7cfb\u306e\u5b89\u5b9a\u6027\u89e3\u6790\u3084\u632f\u52d5\u89e3\u6790\u306b\u5229\u7528\u3055\u308c\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u6319\u52d5\u3092\u6570\u5b66\u7684\u306b\u8868\u73fe\u3057\u307e\u3059\u3002 <\/p>\n

4-2. \u5de5\u5b66\u5206\u91ce\u3067\u306e\u5229\u7528<\/h3>\n

\u6750\u6599\u5de5\u5b66\u3084\u6a5f\u68b0\u5de5\u5b66\u3067\u306f\u3001\u5fdc\u529b\u89e3\u6790\u3084\u6d41\u4f53\u529b\u5b66\u306e\u554f\u984c\u3067\u4e09\u6b21\u65b9\u7a0b\u5f0f\u304c\u767b\u5834\u3057\u307e\u3059\u3002\u8a2d\u8a08\u4e0a\u306e\u6700\u9069\u5316\u554f\u984c\u3084\u5236\u5fa1\u30b7\u30b9\u30c6\u30e0\u306e\u7279\u6027\u8a55\u4fa1\u306b\u3082\u4f7f\u308f\u308c\u307e\u3059\u3002 <\/p>\n

4-3. \u7d4c\u6e08\u5b66\u30fb\u91d1\u878d\u306b\u304a\u3051\u308b\u5f79\u5272<\/h3>\n

\u7d4c\u6e08\u5b66\u306e\u6570\u7406\u30e2\u30c7\u30eb\u3084\u91d1\u878d\u5de5\u5b66\u3067\u306f\u3001\u5747\u8861\u70b9\u3084\u6700\u9069\u89e3\u3092\u6c42\u3081\u308b\u969b\u306b\u4e09\u6b21\u65b9\u7a0b\u5f0f\u304c\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u7279\u306b\u5e02\u5834\u306e\u5747\u8861\u4fa1\u683c\u306e\u8a08\u7b97\u306a\u3069\u3067\u73fe\u308c\u307e\u3059\u3002 <\/p>\n

5. \u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u6b74\u53f2\u7684\u80cc\u666f<\/h2>\n

5-1. \u53e4\u4ee3\u304b\u3089\u30eb\u30cd\u30b5\u30f3\u30b9\u671f\u307e\u3067\u306e\u9032\u5c55<\/h3>\n

\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u6cd5\u306f\u53e4\u4ee3\u304b\u3089\u6570\u5b66\u8005\u306e\u8208\u5473\u306e\u5bfe\u8c61\u3067\u3057\u305f\u304c\u3001\u89e3\u304c\u4e00\u822c\u7684\u306b\u5f97\u3089\u308c\u308b\u65b9\u6cd5\u306f\u30eb\u30cd\u30b5\u30f3\u30b9\u671f\u306e\u30a4\u30bf\u30ea\u30a2\u6570\u5b66\u8005\u305f\u3061\u306b\u3088\u3063\u3066\u767a\u898b\u3055\u308c\u307e\u3057\u305f\u3002 <\/p>\n

5-2. \u30ab\u30eb\u30c0\u30ce\u3068\u30d5\u30a7\u30e9\u30ea\u306e\u8ca2\u732e<\/h3>\n

\u30ab\u30eb\u30c0\u30ce\u306f\u5f1f\u5b50\u30d5\u30a7\u30e9\u30ea\u306e\u89e3\u6cd5\u3092\u307e\u3068\u3081\u3066\u767a\u8868\u3057\u3001\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u6cd5\u304c\u6570\u5b66\u53f2\u306b\u304a\u3051\u308b\u5927\u304d\u306a\u9032\u6b69\u3068\u306a\u308a\u307e\u3057\u305f\u3002\u3053\u306e\u529f\u7e3e\u306f\u4ee3\u6570\u5b66\u306e\u767a\u5c55\u306e\u790e\u3068\u306a\u308a\u307e\u3057\u305f\u3002 <\/p>\n

6. \u4e09\u6b21\u65b9\u7a0b\u5f0f\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u30dd\u30a4\u30f3\u30c8<\/h2>\n

6-1. \u591a\u9805\u5f0f\u306e\u57fa\u790e\u77e5\u8b58\u306e\u91cd\u8981\u6027<\/h3>\n

\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u7406\u89e3\u306b\u306f\u3001\u591a\u9805\u5f0f\u306e\u57fa\u672c\u6027\u8cea\u3084\u56e0\u6570\u5206\u89e3\u3001\u5e73\u65b9\u6839\u3084\u8907\u7d20\u6570\u306e\u6982\u5ff5\u304c\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u57fa\u790e\u3092\u3057\u3063\u304b\u308a\u62bc\u3055\u3048\u308b\u3053\u3068\u3067\u89e3\u6cd5\u304c\u30b9\u30e0\u30fc\u30ba\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>\n

6-2. \u30b0\u30e9\u30d5\u306b\u3088\u308b\u7406\u89e3<\/h3>\n

\u4e09\u6b21\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u63cf\u304f\u3053\u3068\u3067\u3001\u89e3\u306e\u6570\u3084\u89e3\u306e\u6027\u8cea\u3092\u8996\u899a\u7684\u306b\u628a\u63e1\u3067\u304d\u307e\u3059\u3002\u30b0\u30e9\u30d5\u306e\u5f62\u72b6\u306f\u65b9\u7a0b\u5f0f\u306e\u4fc2\u6570\u306b\u3088\u3063\u3066\u5909\u308f\u308a\u3001\u5909\u66f2\u70b9\u3084\u6975\u5024\u306e\u4f4d\u7f6e\u3082\u91cd\u8981\u306a\u60c5\u5831\u3067\u3059\u3002 <\/p>\n

7. \u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u7df4\u7fd2\u554f\u984c\u3068\u89e3\u7b54\u4f8b<\/h2>\n

7-1. \u57fa\u672c\u554f\u984c\u4f8b<\/h3>\n

\u4f8b\uff1a\\[ x^3 - 6x^2 + 11x - 6 = 0 \\] \u3053\u306e\u554f\u984c\u306f\u56e0\u6570\u5206\u89e3\u3067\u304d\u3001\u89e3\u306f x=1, 2, 3 \u3067\u3059\u3002 <\/p>\n

7-2. \u30ab\u30eb\u30c0\u30ce\u306e\u516c\u5f0f\u3092\u4f7f\u3063\u305f\u554f\u984c\u4f8b<\/h3>\n

\u4f8b\uff1a\\[ x^3 + 3x^2 + 3x + 1 = 0 \\] \u3053\u306e\u5834\u5408\u3001\u5909\u6570\u5909\u63db\u3092\u7528\u3044\u3066\u89e3\u304f\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002 <\/p>\n

7-3. \u5fdc\u7528\u554f\u984c\u4f8b<\/h3>\n

\u7269\u7406\u7684\u72b6\u6cc1\u3092\u8003\u616e\u3057\u305f\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u4f5c\u6210\u3068\u89e3\u6cd5\u3002\u5b9f\u751f\u6d3b\u554f\u984c\u3078\u306e\u5fdc\u7528\u3068\u3057\u3066\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059\u3002 <\/p>\n

8. \u307e\u3068\u3081\uff1a\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306e\u7406\u89e3\u3092\u6df1\u3081\u3088\u3046<\/h2>\n

\u4e09\u6b21\u65b9\u7a0b\u5f0f\u306f\u6570\u5b66\u7684\u306b\u91cd\u8981\u306a\u4f4d\u7f6e\u3092\u5360\u3081\u3001\u591a\u304f\u306e\u5206\u91ce\u3067\u5229\u7528\u3055\u308c\u307e\u3059\u3002\u57fa\u672c\u7684\u306a\u89e3\u6cd5\u304b\u3089\u5fdc\u7528\u4f8b\u307e\u3067\u7406\u89e3\u3059\u308b\u3053\u3068\u3067\u3001\u6570\u5b66\u306e\u5e45\u5e83\u3044\u5fdc\u7528\u529b\u304c\u8eab\u306b\u3064\u304d\u307e\u3059\u3002\u305c\u3072\u7a4d\u6975\u7684\u306b\u5b66\u3073\u3001\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u3067\u7406\u89e3\u3092\u6df1\u3081\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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