jmdict 2076480 Active (id#2057893)
解
【 かい 】
  1. [n] {mathematics}
    • solution (of an equation, inequality, etc.)
    • root (e.g. of a polynomial)
  2. [n]
    • solution (to a given problem)
    • answer
  3. [n]
    • explanation
    • interpretation
History:
    • A 2020-02-01 21:24:13 Robin Scott
    • Diff
      @@ -13,2 +13,2 @@
-<gloss>solution (of an equation or inequality)</gloss>
-<gloss>root (e.g. of polynomial)</gloss>
+<gloss>solution (of an equation, inequality, etc.)</gloss>
+<gloss>root (e.g. of a polynomial)</gloss>
@@ -18,2 +18,2 @@
-<gloss>solution</gloss>
-<gloss>answer (to a given problem)</gloss>
+<gloss>solution (to a given problem)</gloss>
+<gloss>answer</gloss>
    • A 2020-02-01 01:55:54 Jim Breen
    • Comments
      I think it's more likely to be just 漢語造語成分 usage. Sense 1 dominates usage.
    • Refs
      GG5, etc.
    • Diff
      @@ -13,0 +14 @@
+<gloss>root (e.g. of polynomial)</gloss>
    • A* 2020-01-26 06:48:33 dine
    • Comments
      I wonder if sense 3 is used as a suffix in the title of explanatory or annotational works?
    • A* 2020-01-26 06:26:53 dine
    • Refs
      daijr, daijs, nikk: https://kotobank.jp/word/解-42079

I searched the Japanese Wikisource and most standalone use of 解 are in mathematical contexts.
Non-math use include:
第177回国会における菅内閣総理大臣施政方針演説「過去の開国にはない困難も伴います。経験のない変化、価値観の多様化、その中で安易に先例や模範を求めても、有効な解は見つかりません。」
プロジェクト・マネジャーが知るべき97のこと/Web が道を示す（今のところは）「これがあらゆるプログラミング問題に対する解になる」
プロジェクト・マネジャーが知るべき97のこと/よいスポンサー、わるいスポンサー、ひどいスポンサー「その問題に対処するのは簡単なことではありません。…ひとつの解は、代理のスポンサーを見つけることでしょう。」
So, these quotations would attest sense 2.
As for sense 3, the best known example is the title of the 新明解 Japanese dictionary, but the 解 is used as a 漢語造語成分, not as a noun.
    • Diff
      @@ -12 +12,12 @@
-<gloss>solution (of equation)</gloss>
+<field>&math;</field>
+<gloss>solution (of an equation or inequality)</gloss>
+</sense>
+<sense>
+<pos>&n;</pos>
+<gloss>solution</gloss>
+<gloss>answer (to a given problem)</gloss>
+</sense>
+<sense>
+<pos>&n;</pos>
+<gloss>explanation</gloss>
+<gloss>interpretation</gloss>
    • A 2006-02-07 00:00:00
    • Comments
      Entry created
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